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Finding the Fourth Proportional to 974.42, 1,461.82 and 358.13

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Solution

The fourth proportional to 974.42, 1,461.82 and 358.13 is: 537.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.42 : 1,461.82 = 358.13 : x
  2. Step 2: Convert to fraction form
    974.42/1,461.82 = 358.13/x
  3. Step 3: Cross multiply
    974.42x = 1,461.82 × 358.13
  4. Step 4: Simplify right side
    974.42x = 523,520.22
  5. Step 5: Solve for x
    x = 523,520.22/974.42
  6. Step 6: Final answer
    x = 537.26

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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.