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Finding the Fourth Proportional to 974.39, 1,461.33 and 358.15

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Solution

The fourth proportional to 974.39, 1,461.33 and 358.15 is: 537.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.39 : 1,461.33 = 358.15 : x
  2. Step 2: Convert to fraction form
    974.39/1,461.33 = 358.15/x
  3. Step 3: Cross multiply
    974.39x = 1,461.33 × 358.15
  4. Step 4: Simplify right side
    974.39x = 523,375.34
  5. Step 5: Solve for x
    x = 523,375.34/974.39
  6. Step 6: Final answer
    x = 537.13

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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.