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Finding the Fourth Proportional to 425.88, 587.78 and 260.19

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Solution

The fourth proportional to 425.88, 587.78 and 260.19 is: 359.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.88 : 587.78 = 260.19 : x
  2. Step 2: Convert to fraction form
    425.88/587.78 = 260.19/x
  3. Step 3: Cross multiply
    425.88x = 587.78 × 260.19
  4. Step 4: Simplify right side
    425.88x = 152,930.24
  5. Step 5: Solve for x
    x = 152,930.24/425.88
  6. Step 6: Final answer
    x = 359.10

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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.