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Finding the Fourth Proportional to 702.38, 1,052.84 and 269.22

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Solution

The fourth proportional to 702.38, 1,052.84 and 269.22 is: 403.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.38 : 1,052.84 = 269.22 : x
  2. Step 2: Convert to fraction form
    702.38/1,052.84 = 269.22/x
  3. Step 3: Cross multiply
    702.38x = 1,052.84 × 269.22
  4. Step 4: Simplify right side
    702.38x = 283,445.58
  5. Step 5: Solve for x
    x = 283,445.58/702.38
  6. Step 6: Final answer
    x = 403.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.