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Finding the Fourth Proportional to 732.30, 1,097.77 and 293.84

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Solution

The fourth proportional to 732.30, 1,097.77 and 293.84 is: 440.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.30 : 1,097.77 = 293.84 : x
  2. Step 2: Convert to fraction form
    732.30/1,097.77 = 293.84/x
  3. Step 3: Cross multiply
    732.30x = 1,097.77 × 293.84
  4. Step 4: Simplify right side
    732.30x = 322,568.74
  5. Step 5: Solve for x
    x = 322,568.74/732.30
  6. Step 6: Final answer
    x = 440.49

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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.