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Finding the Fourth Proportional to 600.29, 900.13 and 275.38

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Solution

The fourth proportional to 600.29, 900.13 and 275.38 is: 412.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.29 : 900.13 = 275.38 : x
  2. Step 2: Convert to fraction form
    600.29/900.13 = 275.38/x
  3. Step 3: Cross multiply
    600.29x = 900.13 × 275.38
  4. Step 4: Simplify right side
    600.29x = 247,877.80
  5. Step 5: Solve for x
    x = 247,877.80/600.29
  6. Step 6: Final answer
    x = 412.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.