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Finding the Fourth Proportional to 562.16, 843.70 and 408.16

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Solution

The fourth proportional to 562.16, 843.70 and 408.16 is: 612.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.16 : 843.70 = 408.16 : x
  2. Step 2: Convert to fraction form
    562.16/843.70 = 408.16/x
  3. Step 3: Cross multiply
    562.16x = 843.70 × 408.16
  4. Step 4: Simplify right side
    562.16x = 344,364.59
  5. Step 5: Solve for x
    x = 344,364.59/562.16
  6. Step 6: Final answer
    x = 612.57

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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.