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Finding the Fourth Proportional to 514.94, 710.64 and 318.38

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Solution

The fourth proportional to 514.94, 710.64 and 318.38 is: 439.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.94 : 710.64 = 318.38 : x
  2. Step 2: Convert to fraction form
    514.94/710.64 = 318.38/x
  3. Step 3: Cross multiply
    514.94x = 710.64 × 318.38
  4. Step 4: Simplify right side
    514.94x = 226,251.97
  5. Step 5: Solve for x
    x = 226,251.97/514.94
  6. Step 6: Final answer
    x = 439.38

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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.