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Finding the Fourth Proportional to 974.24, 1,461.54 and 397.52

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Solution

The fourth proportional to 974.24, 1,461.54 and 397.52 is: 596.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.24 : 1,461.54 = 397.52 : x
  2. Step 2: Convert to fraction form
    974.24/1,461.54 = 397.52/x
  3. Step 3: Cross multiply
    974.24x = 1,461.54 × 397.52
  4. Step 4: Simplify right side
    974.24x = 580,991.38
  5. Step 5: Solve for x
    x = 580,991.38/974.24
  6. Step 6: Final answer
    x = 596.35

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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.