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Finding the Fourth Proportional to 630.29, 869.84 and 409.43

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Solution

The fourth proportional to 630.29, 869.84 and 409.43 is: 565.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.29 : 869.84 = 409.43 : x
  2. Step 2: Convert to fraction form
    630.29/869.84 = 409.43/x
  3. Step 3: Cross multiply
    630.29x = 869.84 × 409.43
  4. Step 4: Simplify right side
    630.29x = 356,132.19
  5. Step 5: Solve for x
    x = 356,132.19/630.29
  6. Step 6: Final answer
    x = 565.03

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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.