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Finding the Fourth Proportional to 557.10, 834.57 and 412.92

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Solution

The fourth proportional to 557.10, 834.57 and 412.92 is: 618.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.10 : 834.57 = 412.92 : x
  2. Step 2: Convert to fraction form
    557.10/834.57 = 412.92/x
  3. Step 3: Cross multiply
    557.10x = 834.57 × 412.92
  4. Step 4: Simplify right side
    557.10x = 344,610.64
  5. Step 5: Solve for x
    x = 344,610.64/557.10
  6. Step 6: Final answer
    x = 618.58

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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.