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Finding the Fourth Proportional to 518.64, 715.74 and 285.81

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Solution

The fourth proportional to 518.64, 715.74 and 285.81 is: 394.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.64 : 715.74 = 285.81 : x
  2. Step 2: Convert to fraction form
    518.64/715.74 = 285.81/x
  3. Step 3: Cross multiply
    518.64x = 715.74 × 285.81
  4. Step 4: Simplify right side
    518.64x = 204,565.65
  5. Step 5: Solve for x
    x = 204,565.65/518.64
  6. Step 6: Final answer
    x = 394.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.