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Finding the Fourth Proportional to 508.68, 702.02 and 299.04

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Solution

The fourth proportional to 508.68, 702.02 and 299.04 is: 412.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.68 : 702.02 = 299.04 : x
  2. Step 2: Convert to fraction form
    508.68/702.02 = 299.04/x
  3. Step 3: Cross multiply
    508.68x = 702.02 × 299.04
  4. Step 4: Simplify right side
    508.68x = 209,932.44
  5. Step 5: Solve for x
    x = 209,932.44/508.68
  6. Step 6: Final answer
    x = 412.70

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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.