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Finding the Fourth Proportional to 702.42, 1,053.66 and 215.42

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Solution

The fourth proportional to 702.42, 1,053.66 and 215.42 is: 323.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.42 : 1,053.66 = 215.42 : x
  2. Step 2: Convert to fraction form
    702.42/1,053.66 = 215.42/x
  3. Step 3: Cross multiply
    702.42x = 1,053.66 × 215.42
  4. Step 4: Simplify right side
    702.42x = 226,979.44
  5. Step 5: Solve for x
    x = 226,979.44/702.42
  6. Step 6: Final answer
    x = 323.14

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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.