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Finding the Fourth Proportional to 600.89, 827.08 and 425.93

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Solution

The fourth proportional to 600.89, 827.08 and 425.93 is: 586.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.89 : 827.08 = 425.93 : x
  2. Step 2: Convert to fraction form
    600.89/827.08 = 425.93/x
  3. Step 3: Cross multiply
    600.89x = 827.08 × 425.93
  4. Step 4: Simplify right side
    600.89x = 352,278.18
  5. Step 5: Solve for x
    x = 352,278.18/600.89
  6. Step 6: Final answer
    x = 586.26

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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.