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Finding the Fourth Proportional to 518.55, 715.56 and 285.69

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Solution

The fourth proportional to 518.55, 715.56 and 285.69 is: 394.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.55 : 715.56 = 285.69 : x
  2. Step 2: Convert to fraction form
    518.55/715.56 = 285.69/x
  3. Step 3: Cross multiply
    518.55x = 715.56 × 285.69
  4. Step 4: Simplify right side
    518.55x = 204,428.34
  5. Step 5: Solve for x
    x = 204,428.34/518.55
  6. Step 6: Final answer
    x = 394.23

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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.