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Finding the Fourth Proportional to 550.48, 826.04 and 306.98

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Solution

The fourth proportional to 550.48, 826.04 and 306.98 is: 460.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.48 : 826.04 = 306.98 : x
  2. Step 2: Convert to fraction form
    550.48/826.04 = 306.98/x
  3. Step 3: Cross multiply
    550.48x = 826.04 × 306.98
  4. Step 4: Simplify right side
    550.48x = 253,577.76
  5. Step 5: Solve for x
    x = 253,577.76/550.48
  6. Step 6: Final answer
    x = 460.65

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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.