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Finding the Fourth Proportional to 549.59, 758.57 and 417.15

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Solution

The fourth proportional to 549.59, 758.57 and 417.15 is: 575.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.59 : 758.57 = 417.15 : x
  2. Step 2: Convert to fraction form
    549.59/758.57 = 417.15/x
  3. Step 3: Cross multiply
    549.59x = 758.57 × 417.15
  4. Step 4: Simplify right side
    549.59x = 316,435.39
  5. Step 5: Solve for x
    x = 316,435.39/549.59
  6. Step 6: Final answer
    x = 575.77

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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.