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Finding the Fourth Proportional to 425.50, 587.29 and 259.85

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Solution

The fourth proportional to 425.50, 587.29 and 259.85 is: 358.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.50 : 587.29 = 259.85 : x
  2. Step 2: Convert to fraction form
    425.50/587.29 = 259.85/x
  3. Step 3: Cross multiply
    425.50x = 587.29 × 259.85
  4. Step 4: Simplify right side
    425.50x = 152,607.31
  5. Step 5: Solve for x
    x = 152,607.31/425.50
  6. Step 6: Final answer
    x = 358.65

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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.