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Finding the Fourth Proportional to 868.20, 1,301.45 and 348.06

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Solution

The fourth proportional to 868.20, 1,301.45 and 348.06 is: 521.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.20 : 1,301.45 = 348.06 : x
  2. Step 2: Convert to fraction form
    868.20/1,301.45 = 348.06/x
  3. Step 3: Cross multiply
    868.20x = 1,301.45 × 348.06
  4. Step 4: Simplify right side
    868.20x = 452,982.69
  5. Step 5: Solve for x
    x = 452,982.69/868.20
  6. Step 6: Final answer
    x = 521.75

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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.