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Finding the Fourth Proportional to 425.42, 587.00 and 259.60

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Solution

The fourth proportional to 425.42, 587.00 and 259.60 is: 358.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.42 : 587.00 = 259.60 : x
  2. Step 2: Convert to fraction form
    425.42/587.00 = 259.60/x
  3. Step 3: Cross multiply
    425.42x = 587.00 × 259.60
  4. Step 4: Simplify right side
    425.42x = 152,380.97
  5. Step 5: Solve for x
    x = 152,380.97/425.42
  6. Step 6: Final answer
    x = 358.19

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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.