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Finding the Fourth Proportional to 630.04, 869.79 and 409.12

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Solution

The fourth proportional to 630.04, 869.79 and 409.12 is: 564.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.04 : 869.79 = 409.12 : x
  2. Step 2: Convert to fraction form
    630.04/869.79 = 409.12/x
  3. Step 3: Cross multiply
    630.04x = 869.79 × 409.12
  4. Step 4: Simplify right side
    630.04x = 355,848.48
  5. Step 5: Solve for x
    x = 355,848.48/630.04
  6. Step 6: Final answer
    x = 564.80

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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.