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Finding the Fourth Proportional to 512.75, 707.18 and 346.70

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Solution

The fourth proportional to 512.75, 707.18 and 346.70 is: 478.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.75 : 707.18 = 346.70 : x
  2. Step 2: Convert to fraction form
    512.75/707.18 = 346.70/x
  3. Step 3: Cross multiply
    512.75x = 707.18 × 346.70
  4. Step 4: Simplify right side
    512.75x = 245,179.31
  5. Step 5: Solve for x
    x = 245,179.31/512.75
  6. Step 6: Final answer
    x = 478.17

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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.