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Finding the Fourth Proportional to 401.17, 554.51 and 291.42

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Solution

The fourth proportional to 401.17, 554.51 and 291.42 is: 402.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.17 : 554.51 = 291.42 : x
  2. Step 2: Convert to fraction form
    401.17/554.51 = 291.42/x
  3. Step 3: Cross multiply
    401.17x = 554.51 × 291.42
  4. Step 4: Simplify right side
    401.17x = 161,595.30
  5. Step 5: Solve for x
    x = 161,595.30/401.17
  6. Step 6: Final answer
    x = 402.81

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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.