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Finding the Fourth Proportional to 630.79, 869.73 and 409.66

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Solution

The fourth proportional to 630.79, 869.73 and 409.66 is: 564.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.79 : 869.73 = 409.66 : x
  2. Step 2: Convert to fraction form
    630.79/869.73 = 409.66/x
  3. Step 3: Cross multiply
    630.79x = 869.73 × 409.66
  4. Step 4: Simplify right side
    630.79x = 356,293.59
  5. Step 5: Solve for x
    x = 356,293.59/630.79
  6. Step 6: Final answer
    x = 564.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.