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Finding the Fourth Proportional to 562.14, 775.71 and 508.95

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Solution

The fourth proportional to 562.14, 775.71 and 508.95 is: 702.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.14 : 775.71 = 508.95 : x
  2. Step 2: Convert to fraction form
    562.14/775.71 = 508.95/x
  3. Step 3: Cross multiply
    562.14x = 775.71 × 508.95
  4. Step 4: Simplify right side
    562.14x = 394,797.60
  5. Step 5: Solve for x
    x = 394,797.60/562.14
  6. Step 6: Final answer
    x = 702.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.