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Finding the Fourth Proportional to 562.96, 843.96 and 346.44

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Solution

The fourth proportional to 562.96, 843.96 and 346.44 is: 519.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.96 : 843.96 = 346.44 : x
  2. Step 2: Convert to fraction form
    562.96/843.96 = 346.44/x
  3. Step 3: Cross multiply
    562.96x = 843.96 × 346.44
  4. Step 4: Simplify right side
    562.96x = 292,381.50
  5. Step 5: Solve for x
    x = 292,381.50/562.96
  6. Step 6: Final answer
    x = 519.36

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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.