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Finding the Fourth Proportional to 549.51, 758.25 and 401.88

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Solution

The fourth proportional to 549.51, 758.25 and 401.88 is: 554.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.51 : 758.25 = 401.88 : x
  2. Step 2: Convert to fraction form
    549.51/758.25 = 401.88/x
  3. Step 3: Cross multiply
    549.51x = 758.25 × 401.88
  4. Step 4: Simplify right side
    549.51x = 304,725.51
  5. Step 5: Solve for x
    x = 304,725.51/549.51
  6. Step 6: Final answer
    x = 554.54

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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.