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Finding the Fourth Proportional to 974.29, 1,461.39 and 325

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Solution

The fourth proportional to 974.29, 1,461.39 and 325 is: 487.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.29 : 1,461.39 = 325 : x
  2. Step 2: Convert to fraction form
    974.29/1,461.39 = 325/x
  3. Step 3: Cross multiply
    974.29x = 1,461.39 × 325
  4. Step 4: Simplify right side
    974.29x = 474,951.75
  5. Step 5: Solve for x
    x = 474,951.75/974.29
  6. Step 6: Final answer
    x = 487.48

Related Problems

Find fourth proportional to 487.15, 730.70 and 162.50
Half scale
Find fourth proportional to 1,948.58, 2,922.78 and 650
Double scale
Find fourth proportional to 975.29, 1,462.89 and 326
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.