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Finding the Fourth Proportional to 401.83, 554.02 and 261.75

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Solution

The fourth proportional to 401.83, 554.02 and 261.75 is: 360.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.83 : 554.02 = 261.75 : x
  2. Step 2: Convert to fraction form
    401.83/554.02 = 261.75/x
  3. Step 3: Cross multiply
    401.83x = 554.02 × 261.75
  4. Step 4: Simplify right side
    401.83x = 145,014.74
  5. Step 5: Solve for x
    x = 145,014.74/401.83
  6. Step 6: Final answer
    x = 360.89

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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.