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Finding the Fourth Proportional to 600.22, 903.85 and 524.10

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Solution

The fourth proportional to 600.22, 903.85 and 524.10 is: 789.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.22 : 903.85 = 524.10 : x
  2. Step 2: Convert to fraction form
    600.22/903.85 = 524.10/x
  3. Step 3: Cross multiply
    600.22x = 903.85 × 524.10
  4. Step 4: Simplify right side
    600.22x = 473,707.79
  5. Step 5: Solve for x
    x = 473,707.79/600.22
  6. Step 6: Final answer
    x = 789.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.