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Finding the Fourth Proportional to 426.16, 587.86 and 260.28

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Solution

The fourth proportional to 426.16, 587.86 and 260.28 is: 359.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.16 : 587.86 = 260.28 : x
  2. Step 2: Convert to fraction form
    426.16/587.86 = 260.28/x
  3. Step 3: Cross multiply
    426.16x = 587.86 × 260.28
  4. Step 4: Simplify right side
    426.16x = 153,008.20
  5. Step 5: Solve for x
    x = 153,008.20/426.16
  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.