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Finding the Fourth Proportional to 659.17, 909.15 and 422.92

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Solution

The fourth proportional to 659.17, 909.15 and 422.92 is: 583.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.17 : 909.15 = 422.92 : x
  2. Step 2: Convert to fraction form
    659.17/909.15 = 422.92/x
  3. Step 3: Cross multiply
    659.17x = 909.15 × 422.92
  4. Step 4: Simplify right side
    659.17x = 384,497.72
  5. Step 5: Solve for x
    x = 384,497.72/659.17
  6. Step 6: Final answer
    x = 583.31

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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.