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Finding the Fourth Proportional to 562.71, 843.63 and 464.91

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Solution

The fourth proportional to 562.71, 843.63 and 464.91 is: 696.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.71 : 843.63 = 464.91 : x
  2. Step 2: Convert to fraction form
    562.71/843.63 = 464.91/x
  3. Step 3: Cross multiply
    562.71x = 843.63 × 464.91
  4. Step 4: Simplify right side
    562.71x = 392,207.12
  5. Step 5: Solve for x
    x = 392,207.12/562.71
  6. Step 6: Final answer
    x = 696.99

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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.