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Finding the Fourth Proportional to 630.48, 869.64 and 409.56

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Solution

The fourth proportional to 630.48, 869.64 and 409.56 is: 564.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.48 : 869.64 = 409.56 : x
  2. Step 2: Convert to fraction form
    630.48/869.64 = 409.56/x
  3. Step 3: Cross multiply
    630.48x = 869.64 × 409.56
  4. Step 4: Simplify right side
    630.48x = 356,169.76
  5. Step 5: Solve for x
    x = 356,169.76/630.48
  6. Step 6: Final answer
    x = 564.92

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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.