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Finding the Fourth Proportional to 367.50, 507.10 and 269.28

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Solution

The fourth proportional to 367.50, 507.10 and 269.28 is: 371.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.50 : 507.10 = 269.28 : x
  2. Step 2: Convert to fraction form
    367.50/507.10 = 269.28/x
  3. Step 3: Cross multiply
    367.50x = 507.10 × 269.28
  4. Step 4: Simplify right side
    367.50x = 136,551.89
  5. Step 5: Solve for x
    x = 136,551.89/367.50
  6. Step 6: Final answer
    x = 371.57

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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.