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Finding the Fourth Proportional to 653.07, 979.30 and 409.38

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Solution

The fourth proportional to 653.07, 979.30 and 409.38 is: 613.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.07 : 979.30 = 409.38 : x
  2. Step 2: Convert to fraction form
    653.07/979.30 = 409.38/x
  3. Step 3: Cross multiply
    653.07x = 979.30 × 409.38
  4. Step 4: Simplify right side
    653.07x = 400,905.83
  5. Step 5: Solve for x
    x = 400,905.83/653.07
  6. Step 6: Final answer
    x = 613.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.