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Finding the Fourth Proportional to 549.06, 826.85 and 477.78

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Solution

The fourth proportional to 549.06, 826.85 and 477.78 is: 719.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.06 : 826.85 = 477.78 : x
  2. Step 2: Convert to fraction form
    549.06/826.85 = 477.78/x
  3. Step 3: Cross multiply
    549.06x = 826.85 × 477.78
  4. Step 4: Simplify right side
    549.06x = 395,050.00
  5. Step 5: Solve for x
    x = 395,050.00/549.06
  6. Step 6: Final answer
    x = 719.50

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.