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Finding the Fourth Proportional to 561.52, 843.17 and 463.81

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Solution

The fourth proportional to 561.52, 843.17 and 463.81 is: 696.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.52 : 843.17 = 463.81 : x
  2. Step 2: Convert to fraction form
    561.52/843.17 = 463.81/x
  3. Step 3: Cross multiply
    561.52x = 843.17 × 463.81
  4. Step 4: Simplify right side
    561.52x = 391,070.68
  5. Step 5: Solve for x
    x = 391,070.68/561.52
  6. Step 6: Final answer
    x = 696.45

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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.