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Finding the Fourth Proportional to 702.10, 1,053.60 and 269.24

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Solution

The fourth proportional to 702.10, 1,053.60 and 269.24 is: 404.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.10 : 1,053.60 = 269.24 : x
  2. Step 2: Convert to fraction form
    702.10/1,053.60 = 269.24/x
  3. Step 3: Cross multiply
    702.10x = 1,053.60 × 269.24
  4. Step 4: Simplify right side
    702.10x = 283,671.26
  5. Step 5: Solve for x
    x = 283,671.26/702.10
  6. Step 6: Final answer
    x = 404.03

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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.