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Finding the Fourth Proportional to 426.47, 588.53 and 260.77

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Solution

The fourth proportional to 426.47, 588.53 and 260.77 is: 359.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.47 : 588.53 = 260.77 : x
  2. Step 2: Convert to fraction form
    426.47/588.53 = 260.77/x
  3. Step 3: Cross multiply
    426.47x = 588.53 × 260.77
  4. Step 4: Simplify right side
    426.47x = 153,471.25
  5. Step 5: Solve for x
    x = 153,471.25/426.47
  6. Step 6: Final answer
    x = 359.87

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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.