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Finding the Fourth Proportional to 562.42, 843.66 and 531.64

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Solution

The fourth proportional to 562.42, 843.66 and 531.64 is: 797.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.42 : 843.66 = 531.64 : x
  2. Step 2: Convert to fraction form
    562.42/843.66 = 531.64/x
  3. Step 3: Cross multiply
    562.42x = 843.66 × 531.64
  4. Step 4: Simplify right side
    562.42x = 448,523.40
  5. Step 5: Solve for x
    x = 448,523.40/562.42
  6. Step 6: Final answer
    x = 797.49

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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.