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Finding the Fourth Proportional to 731.22, 1,009.29 and 416.65

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Solution

The fourth proportional to 731.22, 1,009.29 and 416.65 is: 575.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.22 : 1,009.29 = 416.65 : x
  2. Step 2: Convert to fraction form
    731.22/1,009.29 = 416.65/x
  3. Step 3: Cross multiply
    731.22x = 1,009.29 × 416.65
  4. Step 4: Simplify right side
    731.22x = 420,518.80
  5. Step 5: Solve for x
    x = 420,518.80/731.22
  6. Step 6: Final answer
    x = 575.09

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Why These Related Problems?

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