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Finding the Fourth Proportional to 508.88, 702.20 and 299.12

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Solution

The fourth proportional to 508.88, 702.20 and 299.12 is: 412.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.88 : 702.20 = 299.12 : x
  2. Step 2: Convert to fraction form
    508.88/702.20 = 299.12/x
  3. Step 3: Cross multiply
    508.88x = 702.20 × 299.12
  4. Step 4: Simplify right side
    508.88x = 210,042.06
  5. Step 5: Solve for x
    x = 210,042.06/508.88
  6. Step 6: Final answer
    x = 412.75

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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.