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Finding the Fourth Proportional to 370.84, 512.10 and 240.08

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Solution

The fourth proportional to 370.84, 512.10 and 240.08 is: 331.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.84 : 512.10 = 240.08 : x
  2. Step 2: Convert to fraction form
    370.84/512.10 = 240.08/x
  3. Step 3: Cross multiply
    370.84x = 512.10 × 240.08
  4. Step 4: Simplify right side
    370.84x = 122,944.97
  5. Step 5: Solve for x
    x = 122,944.97/370.84
  6. Step 6: Final answer
    x = 331.53

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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.