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Finding the Fourth Proportional to 585.81, 807.11 and 428.17

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Solution

The fourth proportional to 585.81, 807.11 and 428.17 is: 589.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.81 : 807.11 = 428.17 : x
  2. Step 2: Convert to fraction form
    585.81/807.11 = 428.17/x
  3. Step 3: Cross multiply
    585.81x = 807.11 × 428.17
  4. Step 4: Simplify right side
    585.81x = 345,578.15
  5. Step 5: Solve for x
    x = 345,578.15/585.81
  6. Step 6: Final answer
    x = 589.92

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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.