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Finding the Fourth Proportional to 659.13, 910.32 and 439.02

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Solution

The fourth proportional to 659.13, 910.32 and 439.02 is: 606.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.13 : 910.32 = 439.02 : x
  2. Step 2: Convert to fraction form
    659.13/910.32 = 439.02/x
  3. Step 3: Cross multiply
    659.13x = 910.32 × 439.02
  4. Step 4: Simplify right side
    659.13x = 399,644.13
  5. Step 5: Solve for x
    x = 399,644.13/659.13
  6. Step 6: Final answer
    x = 606.32

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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.