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Finding the Fourth Proportional to 463.18, 693.76 and 359.66

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Solution

The fourth proportional to 463.18, 693.76 and 359.66 is: 538.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.18 : 693.76 = 359.66 : x
  2. Step 2: Convert to fraction form
    463.18/693.76 = 359.66/x
  3. Step 3: Cross multiply
    463.18x = 693.76 × 359.66
  4. Step 4: Simplify right side
    463.18x = 249,517.72
  5. Step 5: Solve for x
    x = 249,517.72/463.18
  6. Step 6: Final answer
    x = 538.71

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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.