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Finding the Fourth Proportional to 677.67, 934.65 and 502.71

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Solution

The fourth proportional to 677.67, 934.65 and 502.71 is: 693.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.67 : 934.65 = 502.71 : x
  2. Step 2: Convert to fraction form
    677.67/934.65 = 502.71/x
  3. Step 3: Cross multiply
    677.67x = 934.65 × 502.71
  4. Step 4: Simplify right side
    677.67x = 469,857.90
  5. Step 5: Solve for x
    x = 469,857.90/677.67
  6. Step 6: Final answer
    x = 693.34

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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.