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Finding the Fourth Proportional to 508.90, 702.16 and 369.35

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Solution

The fourth proportional to 508.90, 702.16 and 369.35 is: 509.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.90 : 702.16 = 369.35 : x
  2. Step 2: Convert to fraction form
    508.90/702.16 = 369.35/x
  3. Step 3: Cross multiply
    508.90x = 702.16 × 369.35
  4. Step 4: Simplify right side
    508.90x = 259,342.80
  5. Step 5: Solve for x
    x = 259,342.80/508.90
  6. Step 6: Final answer
    x = 509.61

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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.