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Finding the Fourth Proportional to 702.24, 1,053.42 and 240

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Solution

The fourth proportional to 702.24, 1,053.42 and 240 is: 360.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.24 : 1,053.42 = 240 : x
  2. Step 2: Convert to fraction form
    702.24/1,053.42 = 240/x
  3. Step 3: Cross multiply
    702.24x = 1,053.42 × 240
  4. Step 4: Simplify right side
    702.24x = 252,820.80
  5. Step 5: Solve for x
    x = 252,820.80/702.24
  6. Step 6: Final answer
    x = 360.02

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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.