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Finding the Fourth Proportional to 427.47, 640.17 and 346.47

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Solution

The fourth proportional to 427.47, 640.17 and 346.47 is: 518.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.47 : 640.17 = 346.47 : x
  2. Step 2: Convert to fraction form
    427.47/640.17 = 346.47/x
  3. Step 3: Cross multiply
    427.47x = 640.17 × 346.47
  4. Step 4: Simplify right side
    427.47x = 221,799.70
  5. Step 5: Solve for x
    x = 221,799.70/427.47
  6. Step 6: Final answer
    x = 518.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.