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Finding the Fourth Proportional to 549.42, 758.07 and 401.80

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Solution

The fourth proportional to 549.42, 758.07 and 401.80 is: 554.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.42 : 758.07 = 401.80 : x
  2. Step 2: Convert to fraction form
    549.42/758.07 = 401.80/x
  3. Step 3: Cross multiply
    549.42x = 758.07 × 401.80
  4. Step 4: Simplify right side
    549.42x = 304,590.63
  5. Step 5: Solve for x
    x = 304,590.63/549.42
  6. Step 6: Final answer
    x = 554.39

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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.