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Finding the Fourth Proportional to 518.33, 715.29 and 285.46

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Solution

The fourth proportional to 518.33, 715.29 and 285.46 is: 393.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.33 : 715.29 = 285.46 : x
  2. Step 2: Convert to fraction form
    518.33/715.29 = 285.46/x
  3. Step 3: Cross multiply
    518.33x = 715.29 × 285.46
  4. Step 4: Simplify right side
    518.33x = 204,184.18
  5. Step 5: Solve for x
    x = 204,184.18/518.33
  6. Step 6: Final answer
    x = 393.93

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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.