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Finding the Fourth Proportional to 549.33, 825.83 and 429.05

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Solution

The fourth proportional to 549.33, 825.83 and 429.05 is: 645.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.33 : 825.83 = 429.05 : x
  2. Step 2: Convert to fraction form
    549.33/825.83 = 429.05/x
  3. Step 3: Cross multiply
    549.33x = 825.83 × 429.05
  4. Step 4: Simplify right side
    549.33x = 354,316.09
  5. Step 5: Solve for x
    x = 354,316.09/549.33
  6. Step 6: Final answer
    x = 645.00

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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.