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Finding the Fourth Proportional to 514.62, 709.65 and 318.06

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Solution

The fourth proportional to 514.62, 709.65 and 318.06 is: 438.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.62 : 709.65 = 318.06 : x
  2. Step 2: Convert to fraction form
    514.62/709.65 = 318.06/x
  3. Step 3: Cross multiply
    514.62x = 709.65 × 318.06
  4. Step 4: Simplify right side
    514.62x = 225,711.28
  5. Step 5: Solve for x
    x = 225,711.28/514.62
  6. Step 6: Final answer
    x = 438.60

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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.