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Finding the Fourth Proportional to 508.71, 702.06 and 312.12

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Solution

The fourth proportional to 508.71, 702.06 and 312.12 is: 430.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.71 : 702.06 = 312.12 : x
  2. Step 2: Convert to fraction form
    508.71/702.06 = 312.12/x
  3. Step 3: Cross multiply
    508.71x = 702.06 × 312.12
  4. Step 4: Simplify right side
    508.71x = 219,126.97
  5. Step 5: Solve for x
    x = 219,126.97/508.71
  6. Step 6: Final answer
    x = 430.75

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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.