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Finding the Fourth Proportional to 549.10, 758.75 and 409.78

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Solution

The fourth proportional to 549.10, 758.75 and 409.78 is: 566.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.10 : 758.75 = 409.78 : x
  2. Step 2: Convert to fraction form
    549.10/758.75 = 409.78/x
  3. Step 3: Cross multiply
    549.10x = 758.75 × 409.78
  4. Step 4: Simplify right side
    549.10x = 310,920.58
  5. Step 5: Solve for x
    x = 310,920.58/549.10
  6. Step 6: Final answer
    x = 566.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.