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Finding the Fourth Proportional to 314.59, 433.18 and 285.29

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Solution

The fourth proportional to 314.59, 433.18 and 285.29 is: 392.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.59 : 433.18 = 285.29 : x
  2. Step 2: Convert to fraction form
    314.59/433.18 = 285.29/x
  3. Step 3: Cross multiply
    314.59x = 433.18 × 285.29
  4. Step 4: Simplify right side
    314.59x = 123,581.92
  5. Step 5: Solve for x
    x = 123,581.92/314.59
  6. Step 6: Final answer
    x = 392.83

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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.