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Finding the Fourth Proportional to 971.78, 1,457.24 and 355.32

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Solution

The fourth proportional to 971.78, 1,457.24 and 355.32 is: 532.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.78 : 1,457.24 = 355.32 : x
  2. Step 2: Convert to fraction form
    971.78/1,457.24 = 355.32/x
  3. Step 3: Cross multiply
    971.78x = 1,457.24 × 355.32
  4. Step 4: Simplify right side
    971.78x = 517,784.74
  5. Step 5: Solve for x
    x = 517,784.74/971.78
  6. Step 6: Final answer
    x = 532.82

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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.