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Finding the Fourth Proportional to 427.14, 588.78 and 348.78

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Solution

The fourth proportional to 427.14, 588.78 and 348.78 is: 480.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.14 : 588.78 = 348.78 : x
  2. Step 2: Convert to fraction form
    427.14/588.78 = 348.78/x
  3. Step 3: Cross multiply
    427.14x = 588.78 × 348.78
  4. Step 4: Simplify right side
    427.14x = 205,354.69
  5. Step 5: Solve for x
    x = 205,354.69/427.14
  6. Step 6: Final answer
    x = 480.77

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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.