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Finding the Fourth Proportional to 600.13, 827.15 and 494.89

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Solution

The fourth proportional to 600.13, 827.15 and 494.89 is: 682.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.13 : 827.15 = 494.89 : x
  2. Step 2: Convert to fraction form
    600.13/827.15 = 494.89/x
  3. Step 3: Cross multiply
    600.13x = 827.15 × 494.89
  4. Step 4: Simplify right side
    600.13x = 409,348.26
  5. Step 5: Solve for x
    x = 409,348.26/600.13
  6. Step 6: Final answer
    x = 682.10

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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.