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Finding the Fourth Proportional to 562.90, 843.21 and 459.16

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Solution

The fourth proportional to 562.90, 843.21 and 459.16 is: 687.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.90 : 843.21 = 459.16 : x
  2. Step 2: Convert to fraction form
    562.90/843.21 = 459.16/x
  3. Step 3: Cross multiply
    562.90x = 843.21 × 459.16
  4. Step 4: Simplify right side
    562.90x = 387,168.30
  5. Step 5: Solve for x
    x = 387,168.30/562.90
  6. Step 6: Final answer
    x = 687.81

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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.