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Finding the Fourth Proportional to 549.16, 757.47 and 417.94

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Solution

The fourth proportional to 549.16, 757.47 and 417.94 is: 576.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.16 : 757.47 = 417.94 : x
  2. Step 2: Convert to fraction form
    549.16/757.47 = 417.94/x
  3. Step 3: Cross multiply
    549.16x = 757.47 × 417.94
  4. Step 4: Simplify right side
    549.16x = 316,577.01
  5. Step 5: Solve for x
    x = 316,577.01/549.16
  6. Step 6: Final answer
    x = 576.48

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Why These Related Problems?

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