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Finding the Fourth Proportional to 578.72, 867.14 and 557.12

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Solution

The fourth proportional to 578.72, 867.14 and 557.12 is: 834.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.72 : 867.14 = 557.12 : x
  2. Step 2: Convert to fraction form
    578.72/867.14 = 557.12/x
  3. Step 3: Cross multiply
    578.72x = 867.14 × 557.12
  4. Step 4: Simplify right side
    578.72x = 483,098.25
  5. Step 5: Solve for x
    x = 483,098.25/578.72
  6. Step 6: Final answer
    x = 834.77

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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.