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Finding the Fourth Proportional to 557.61, 768.59 and 424.38

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Solution

The fourth proportional to 557.61, 768.59 and 424.38 is: 584.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.61 : 768.59 = 424.38 : x
  2. Step 2: Convert to fraction form
    557.61/768.59 = 424.38/x
  3. Step 3: Cross multiply
    557.61x = 768.59 × 424.38
  4. Step 4: Simplify right side
    557.61x = 326,174.22
  5. Step 5: Solve for x
    x = 326,174.22/557.61
  6. Step 6: Final answer
    x = 584.95

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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.