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Finding the Fourth Proportional to 502.22, 751.70 and 355.62

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Solution

The fourth proportional to 502.22, 751.70 and 355.62 is: 532.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.22 : 751.70 = 355.62 : x
  2. Step 2: Convert to fraction form
    502.22/751.70 = 355.62/x
  3. Step 3: Cross multiply
    502.22x = 751.70 × 355.62
  4. Step 4: Simplify right side
    502.22x = 267,319.55
  5. Step 5: Solve for x
    x = 267,319.55/502.22
  6. Step 6: Final answer
    x = 532.28

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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.