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Finding the Fourth Proportional to 731.49, 1,097.61 and 321

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Solution

The fourth proportional to 731.49, 1,097.61 and 321 is: 481.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.49 : 1,097.61 = 321 : x
  2. Step 2: Convert to fraction form
    731.49/1,097.61 = 321/x
  3. Step 3: Cross multiply
    731.49x = 1,097.61 × 321
  4. Step 4: Simplify right side
    731.49x = 352,332.81
  5. Step 5: Solve for x
    x = 352,332.81/731.49
  6. Step 6: Final answer
    x = 481.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.