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Finding the Fourth Proportional to 518.73, 715.84 and 282.69

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Solution

The fourth proportional to 518.73, 715.84 and 282.69 is: 390.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.73 : 715.84 = 282.69 : x
  2. Step 2: Convert to fraction form
    518.73/715.84 = 282.69/x
  3. Step 3: Cross multiply
    518.73x = 715.84 × 282.69
  4. Step 4: Simplify right side
    518.73x = 202,361.96
  5. Step 5: Solve for x
    x = 202,361.96/518.73
  6. Step 6: Final answer
    x = 390.11

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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.