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Finding the Fourth Proportional to 659.01, 909.44 and 397.11

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Solution

The fourth proportional to 659.01, 909.44 and 397.11 is: 548.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.01 : 909.44 = 397.11 : x
  2. Step 2: Convert to fraction form
    659.01/909.44 = 397.11/x
  3. Step 3: Cross multiply
    659.01x = 909.44 × 397.11
  4. Step 4: Simplify right side
    659.01x = 361,147.72
  5. Step 5: Solve for x
    x = 361,147.72/659.01
  6. Step 6: Final answer
    x = 548.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.