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Finding the Fourth Proportional to 971.28, 1,457.50 and 354.92

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Solution

The fourth proportional to 971.28, 1,457.50 and 354.92 is: 532.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.28 : 1,457.50 = 354.92 : x
  2. Step 2: Convert to fraction form
    971.28/1,457.50 = 354.92/x
  3. Step 3: Cross multiply
    971.28x = 1,457.50 × 354.92
  4. Step 4: Simplify right side
    971.28x = 517,295.90
  5. Step 5: Solve for x
    x = 517,295.90/971.28
  6. Step 6: Final answer
    x = 532.59

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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.