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Finding the Fourth Proportional to 401.52, 602.58 and 311

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Solution

The fourth proportional to 401.52, 602.58 and 311 is: 466.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.52 : 602.58 = 311 : x
  2. Step 2: Convert to fraction form
    401.52/602.58 = 311/x
  3. Step 3: Cross multiply
    401.52x = 602.58 × 311
  4. Step 4: Simplify right side
    401.52x = 187,402.38
  5. Step 5: Solve for x
    x = 187,402.38/401.52
  6. Step 6: Final answer
    x = 466.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.