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Finding the Fourth Proportional to 661.34, 992.24 and 401.87

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Solution

The fourth proportional to 661.34, 992.24 and 401.87 is: 602.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.34 : 992.24 = 401.87 : x
  2. Step 2: Convert to fraction form
    661.34/992.24 = 401.87/x
  3. Step 3: Cross multiply
    661.34x = 992.24 × 401.87
  4. Step 4: Simplify right side
    661.34x = 398,750.01
  5. Step 5: Solve for x
    x = 398,750.01/661.34
  6. Step 6: Final answer
    x = 602.94

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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.