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Finding the Fourth Proportional to 974.42, 1,461.76 and 325.20

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Solution

The fourth proportional to 974.42, 1,461.76 and 325.20 is: 487.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.42 : 1,461.76 = 325.20 : x
  2. Step 2: Convert to fraction form
    974.42/1,461.76 = 325.20/x
  3. Step 3: Cross multiply
    974.42x = 1,461.76 × 325.20
  4. Step 4: Simplify right side
    974.42x = 475,364.35
  5. Step 5: Solve for x
    x = 475,364.35/974.42
  6. Step 6: Final answer
    x = 487.84

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Double scale
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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.