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Finding the Fourth Proportional to 514.25, 709.25 and 348.40

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Solution

The fourth proportional to 514.25, 709.25 and 348.40 is: 480.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.25 : 709.25 = 348.40 : x
  2. Step 2: Convert to fraction form
    514.25/709.25 = 348.40/x
  3. Step 3: Cross multiply
    514.25x = 709.25 × 348.40
  4. Step 4: Simplify right side
    514.25x = 247,102.70
  5. Step 5: Solve for x
    x = 247,102.70/514.25
  6. Step 6: Final answer
    x = 480.51

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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.