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Finding the Fourth Proportional to 600.67, 829.02 and 379.72

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Solution

The fourth proportional to 600.67, 829.02 and 379.72 is: 524.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.67 : 829.02 = 379.72 : x
  2. Step 2: Convert to fraction form
    600.67/829.02 = 379.72/x
  3. Step 3: Cross multiply
    600.67x = 829.02 × 379.72
  4. Step 4: Simplify right side
    600.67x = 314,795.47
  5. Step 5: Solve for x
    x = 314,795.47/600.67
  6. Step 6: Final answer
    x = 524.07

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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.