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Finding the Fourth Proportional to 582.11, 873.13 and 217.14

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Solution

The fourth proportional to 582.11, 873.13 and 217.14 is: 325.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.11 : 873.13 = 217.14 : x
  2. Step 2: Convert to fraction form
    582.11/873.13 = 217.14/x
  3. Step 3: Cross multiply
    582.11x = 873.13 × 217.14
  4. Step 4: Simplify right side
    582.11x = 189,591.45
  5. Step 5: Solve for x
    x = 189,591.45/582.11
  6. Step 6: Final answer
    x = 325.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.