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Finding the Fourth Proportional to 557.49, 769.92 and 434.61

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Solution

The fourth proportional to 557.49, 769.92 and 434.61 is: 600.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.49 : 769.92 = 434.61 : x
  2. Step 2: Convert to fraction form
    557.49/769.92 = 434.61/x
  3. Step 3: Cross multiply
    557.49x = 769.92 × 434.61
  4. Step 4: Simplify right side
    557.49x = 334,614.93
  5. Step 5: Solve for x
    x = 334,614.93/557.49
  6. Step 6: Final answer
    x = 600.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.