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Finding the Fourth Proportional to 425.52, 587.66 and 366.39

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Solution

The fourth proportional to 425.52, 587.66 and 366.39 is: 505.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.52 : 587.66 = 366.39 : x
  2. Step 2: Convert to fraction form
    425.52/587.66 = 366.39/x
  3. Step 3: Cross multiply
    425.52x = 587.66 × 366.39
  4. Step 4: Simplify right side
    425.52x = 215,310.92
  5. Step 5: Solve for x
    x = 215,310.92/425.52
  6. Step 6: Final answer
    x = 505.99

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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.