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Finding the Fourth Proportional to 501.97, 752.18 and 348.20

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Solution

The fourth proportional to 501.97, 752.18 and 348.20 is: 521.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.97 : 752.18 = 348.20 : x
  2. Step 2: Convert to fraction form
    501.97/752.18 = 348.20/x
  3. Step 3: Cross multiply
    501.97x = 752.18 × 348.20
  4. Step 4: Simplify right side
    501.97x = 261,907.70
  5. Step 5: Solve for x
    x = 261,907.70/501.97
  6. Step 6: Final answer
    x = 521.76

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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.