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Finding the Fourth Proportional to 348.20, 521.70 and 294.20

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Solution

The fourth proportional to 348.20, 521.70 and 294.20 is: 440.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.20 : 521.70 = 294.20 : x
  2. Step 2: Convert to fraction form
    348.20/521.70 = 294.20/x
  3. Step 3: Cross multiply
    348.20x = 521.70 × 294.20
  4. Step 4: Simplify right side
    348.20x = 153,484.14
  5. Step 5: Solve for x
    x = 153,484.14/348.20
  6. Step 6: Final answer
    x = 440.79

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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.