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Finding the Fourth Proportional to 370.90, 511.50 and 277.54

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Solution

The fourth proportional to 370.90, 511.50 and 277.54 is: 382.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.90 : 511.50 = 277.54 : x
  2. Step 2: Convert to fraction form
    370.90/511.50 = 277.54/x
  3. Step 3: Cross multiply
    370.90x = 511.50 × 277.54
  4. Step 4: Simplify right side
    370.90x = 141,961.71
  5. Step 5: Solve for x
    x = 141,961.71/370.90
  6. Step 6: Final answer
    x = 382.75

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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.