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Finding the Fourth Proportional to 443.73, 612.13 and 296.56

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Solution

The fourth proportional to 443.73, 612.13 and 296.56 is: 409.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.73 : 612.13 = 296.56 : x
  2. Step 2: Convert to fraction form
    443.73/612.13 = 296.56/x
  3. Step 3: Cross multiply
    443.73x = 612.13 × 296.56
  4. Step 4: Simplify right side
    443.73x = 181,531.79
  5. Step 5: Solve for x
    x = 181,531.79/443.73
  6. Step 6: Final answer
    x = 409.10

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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.