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Finding the Fourth Proportional to 425.99, 587.86 and 260.18

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Solution

The fourth proportional to 425.99, 587.86 and 260.18 is: 359.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.99 : 587.86 = 260.18 : x
  2. Step 2: Convert to fraction form
    425.99/587.86 = 260.18/x
  3. Step 3: Cross multiply
    425.99x = 587.86 × 260.18
  4. Step 4: Simplify right side
    425.99x = 152,948.03
  5. Step 5: Solve for x
    x = 152,948.03/425.99
  6. Step 6: Final answer
    x = 359.04

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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.