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Finding the Fourth Proportional to 515.12, 710.84 and 318.69

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Solution

The fourth proportional to 515.12, 710.84 and 318.69 is: 439.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.12 : 710.84 = 318.69 : x
  2. Step 2: Convert to fraction form
    515.12/710.84 = 318.69/x
  3. Step 3: Cross multiply
    515.12x = 710.84 × 318.69
  4. Step 4: Simplify right side
    515.12x = 226,538.40
  5. Step 5: Solve for x
    x = 226,538.40/515.12
  6. Step 6: Final answer
    x = 439.78

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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.