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Finding the Fourth Proportional to 370.82, 511.40 and 237.89

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Solution

The fourth proportional to 370.82, 511.40 and 237.89 is: 328.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.82 : 511.40 = 237.89 : x
  2. Step 2: Convert to fraction form
    370.82/511.40 = 237.89/x
  3. Step 3: Cross multiply
    370.82x = 511.40 × 237.89
  4. Step 4: Simplify right side
    370.82x = 121,654.60
  5. Step 5: Solve for x
    x = 121,654.60/370.82
  6. Step 6: Final answer
    x = 328.07

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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.