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Finding the Fourth Proportional to 653.52, 979.92 and 409.92

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Solution

The fourth proportional to 653.52, 979.92 and 409.92 is: 614.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.52 : 979.92 = 409.92 : x
  2. Step 2: Convert to fraction form
    653.52/979.92 = 409.92/x
  3. Step 3: Cross multiply
    653.52x = 979.92 × 409.92
  4. Step 4: Simplify right side
    653.52x = 401,688.81
  5. Step 5: Solve for x
    x = 401,688.81/653.52
  6. Step 6: Final answer
    x = 614.65

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Why These Related Problems?

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