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Finding the Fourth Proportional to 702.48, 1,052.46 and 442.20

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Solution

The fourth proportional to 702.48, 1,052.46 and 442.20 is: 662.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.48 : 1,052.46 = 442.20 : x
  2. Step 2: Convert to fraction form
    702.48/1,052.46 = 442.20/x
  3. Step 3: Cross multiply
    702.48x = 1,052.46 × 442.20
  4. Step 4: Simplify right side
    702.48x = 465,397.81
  5. Step 5: Solve for x
    x = 465,397.81/702.48
  6. Step 6: Final answer
    x = 662.51

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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.