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Finding the Fourth Proportional to 971.57, 1,457.49 and 355.16

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Solution

The fourth proportional to 971.57, 1,457.49 and 355.16 is: 532.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.57 : 1,457.49 = 355.16 : x
  2. Step 2: Convert to fraction form
    971.57/1,457.49 = 355.16/x
  3. Step 3: Cross multiply
    971.57x = 1,457.49 × 355.16
  4. Step 4: Simplify right side
    971.57x = 517,634.86
  5. Step 5: Solve for x
    x = 517,634.86/971.57
  6. Step 6: Final answer
    x = 532.78

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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.