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Finding the Fourth Proportional to 426.47, 588.17 and 360.23

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Solution

The fourth proportional to 426.47, 588.17 and 360.23 is: 496.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.47 : 588.17 = 360.23 : x
  2. Step 2: Convert to fraction form
    426.47/588.17 = 360.23/x
  3. Step 3: Cross multiply
    426.47x = 588.17 × 360.23
  4. Step 4: Simplify right side
    426.47x = 211,875.72
  5. Step 5: Solve for x
    x = 211,875.72/426.47
  6. Step 6: Final answer
    x = 496.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.