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Finding the Fourth Proportional to 425.92, 587.72 and 260.38

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Solution

The fourth proportional to 425.92, 587.72 and 260.38 is: 359.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.92 : 587.72 = 260.38 : x
  2. Step 2: Convert to fraction form
    425.92/587.72 = 260.38/x
  3. Step 3: Cross multiply
    425.92x = 587.72 × 260.38
  4. Step 4: Simplify right side
    425.92x = 153,030.53
  5. Step 5: Solve for x
    x = 153,030.53/425.92
  6. Step 6: Final answer
    x = 359.29

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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.