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Finding the Fourth Proportional to 370.71, 511.01 and 277.31

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Solution

The fourth proportional to 370.71, 511.01 and 277.31 is: 382.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.71 : 511.01 = 277.31 : x
  2. Step 2: Convert to fraction form
    370.71/511.01 = 277.31/x
  3. Step 3: Cross multiply
    370.71x = 511.01 × 277.31
  4. Step 4: Simplify right side
    370.71x = 141,710.15
  5. Step 5: Solve for x
    x = 141,710.15/370.71
  6. Step 6: Final answer
    x = 382.27

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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.