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Finding the Fourth Proportional to 508.74, 702.10 and 312.24

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Solution

The fourth proportional to 508.74, 702.10 and 312.24 is: 430.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.74 : 702.10 = 312.24 : x
  2. Step 2: Convert to fraction form
    508.74/702.10 = 312.24/x
  3. Step 3: Cross multiply
    508.74x = 702.10 × 312.24
  4. Step 4: Simplify right side
    508.74x = 219,223.70
  5. Step 5: Solve for x
    x = 219,223.70/508.74
  6. Step 6: Final answer
    x = 430.92

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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.