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Finding the Fourth Proportional to 600.98, 827.42 and 468.04

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Solution

The fourth proportional to 600.98, 827.42 and 468.04 is: 644.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.98 : 827.42 = 468.04 : x
  2. Step 2: Convert to fraction form
    600.98/827.42 = 468.04/x
  3. Step 3: Cross multiply
    600.98x = 827.42 × 468.04
  4. Step 4: Simplify right side
    600.98x = 387,261.25
  5. Step 5: Solve for x
    x = 387,261.25/600.98
  6. Step 6: Final answer
    x = 644.38

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1.5x scale

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.