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Finding the Fourth Proportional to 588.42, 811.62 and 401.61

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Solution

The fourth proportional to 588.42, 811.62 and 401.61 is: 553.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.42 : 811.62 = 401.61 : x
  2. Step 2: Convert to fraction form
    588.42/811.62 = 401.61/x
  3. Step 3: Cross multiply
    588.42x = 811.62 × 401.61
  4. Step 4: Simplify right side
    588.42x = 325,954.71
  5. Step 5: Solve for x
    x = 325,954.71/588.42
  6. Step 6: Final answer
    x = 553.95

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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.