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Finding the Fourth Proportional to 502.20, 693.77 and 393.05

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Solution

The fourth proportional to 502.20, 693.77 and 393.05 is: 542.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.20 : 693.77 = 393.05 : x
  2. Step 2: Convert to fraction form
    502.20/693.77 = 393.05/x
  3. Step 3: Cross multiply
    502.20x = 693.77 × 393.05
  4. Step 4: Simplify right side
    502.20x = 272,686.07
  5. Step 5: Solve for x
    x = 272,686.07/502.20
  6. Step 6: Final answer
    x = 542.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.