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Finding the Fourth Proportional to 630.60, 869.74 and 409.62

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Solution

The fourth proportional to 630.60, 869.74 and 409.62 is: 564.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.60 : 869.74 = 409.62 : x
  2. Step 2: Convert to fraction form
    630.60/869.74 = 409.62/x
  3. Step 3: Cross multiply
    630.60x = 869.74 × 409.62
  4. Step 4: Simplify right side
    630.60x = 356,265.14
  5. Step 5: Solve for x
    x = 356,265.14/630.60
  6. Step 6: Final answer
    x = 564.96

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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.