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Finding the Fourth Proportional to 442.57, 662.02 and 402.47

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Solution

The fourth proportional to 442.57, 662.02 and 402.47 is: 602.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.57 : 662.02 = 402.47 : x
  2. Step 2: Convert to fraction form
    442.57/662.02 = 402.47/x
  3. Step 3: Cross multiply
    442.57x = 662.02 × 402.47
  4. Step 4: Simplify right side
    442.57x = 266,445.35
  5. Step 5: Solve for x
    x = 266,445.35/442.57
  6. Step 6: Final answer
    x = 602.04

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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.