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Finding the Fourth Proportional to 563.52, 844.80 and 409.92

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Solution

The fourth proportional to 563.52, 844.80 and 409.92 is: 614.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.52 : 844.80 = 409.92 : x
  2. Step 2: Convert to fraction form
    563.52/844.80 = 409.92/x
  3. Step 3: Cross multiply
    563.52x = 844.80 × 409.92
  4. Step 4: Simplify right side
    563.52x = 346,300.42
  5. Step 5: Solve for x
    x = 346,300.42/563.52
  6. Step 6: Final answer
    x = 614.53

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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.