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Finding the Fourth Proportional to 401.43, 554.01 and 261.48

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Solution

The fourth proportional to 401.43, 554.01 and 261.48 is: 360.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.43 : 554.01 = 261.48 : x
  2. Step 2: Convert to fraction form
    401.43/554.01 = 261.48/x
  3. Step 3: Cross multiply
    401.43x = 554.01 × 261.48
  4. Step 4: Simplify right side
    401.43x = 144,862.53
  5. Step 5: Solve for x
    x = 144,862.53/401.43
  6. Step 6: Final answer
    x = 360.87

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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.