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Finding the Fourth Proportional to 518.74, 715.87 and 285.87

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Solution

The fourth proportional to 518.74, 715.87 and 285.87 is: 394.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.74 : 715.87 = 285.87 : x
  2. Step 2: Convert to fraction form
    518.74/715.87 = 285.87/x
  3. Step 3: Cross multiply
    518.74x = 715.87 × 285.87
  4. Step 4: Simplify right side
    518.74x = 204,645.76
  5. Step 5: Solve for x
    x = 204,645.76/518.74
  6. Step 6: Final answer
    x = 394.51

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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.