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Finding the Fourth Proportional to 562.05, 843.64 and 415.94

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Solution

The fourth proportional to 562.05, 843.64 and 415.94 is: 624.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.05 : 843.64 = 415.94 : x
  2. Step 2: Convert to fraction form
    562.05/843.64 = 415.94/x
  3. Step 3: Cross multiply
    562.05x = 843.64 × 415.94
  4. Step 4: Simplify right side
    562.05x = 350,898.36
  5. Step 5: Solve for x
    x = 350,898.36/562.05
  6. Step 6: Final answer
    x = 624.32

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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.