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Finding the Fourth Proportional to 370.99, 511.50 and 265.78

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Solution

The fourth proportional to 370.99, 511.50 and 265.78 is: 366.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.99 : 511.50 = 265.78 : x
  2. Step 2: Convert to fraction form
    370.99/511.50 = 265.78/x
  3. Step 3: Cross multiply
    370.99x = 511.50 × 265.78
  4. Step 4: Simplify right side
    370.99x = 135,946.47
  5. Step 5: Solve for x
    x = 135,946.47/370.99
  6. Step 6: Final answer
    x = 366.44

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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.