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Finding the Fourth Proportional to 574.69, 862.47 and 463.78

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Solution

The fourth proportional to 574.69, 862.47 and 463.78 is: 696.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.69 : 862.47 = 463.78 : x
  2. Step 2: Convert to fraction form
    574.69/862.47 = 463.78/x
  3. Step 3: Cross multiply
    574.69x = 862.47 × 463.78
  4. Step 4: Simplify right side
    574.69x = 399,996.34
  5. Step 5: Solve for x
    x = 399,996.34/574.69
  6. Step 6: Final answer
    x = 696.02

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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.