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Finding the Fourth Proportional to 425.52, 586.96 and 259.76

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Solution

The fourth proportional to 425.52, 586.96 and 259.76 is: 358.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.52 : 586.96 = 259.76 : x
  2. Step 2: Convert to fraction form
    425.52/586.96 = 259.76/x
  3. Step 3: Cross multiply
    425.52x = 586.96 × 259.76
  4. Step 4: Simplify right side
    425.52x = 152,468.73
  5. Step 5: Solve for x
    x = 152,468.73/425.52
  6. Step 6: Final answer
    x = 358.31

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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.