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Finding the Fourth Proportional to 600.24, 827.52 and 469.04

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Solution

The fourth proportional to 600.24, 827.52 and 469.04 is: 646.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.24 : 827.52 = 469.04 : x
  2. Step 2: Convert to fraction form
    600.24/827.52 = 469.04/x
  3. Step 3: Cross multiply
    600.24x = 827.52 × 469.04
  4. Step 4: Simplify right side
    600.24x = 388,139.98
  5. Step 5: Solve for x
    x = 388,139.98/600.24
  6. Step 6: Final answer
    x = 646.64

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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.