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Finding the Fourth Proportional to 370.25, 511.31 and 259.91

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Solution

The fourth proportional to 370.25, 511.31 and 259.91 is: 358.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.25 : 511.31 = 259.91 : x
  2. Step 2: Convert to fraction form
    370.25/511.31 = 259.91/x
  3. Step 3: Cross multiply
    370.25x = 511.31 × 259.91
  4. Step 4: Simplify right side
    370.25x = 132,892.68
  5. Step 5: Solve for x
    x = 132,892.68/370.25
  6. Step 6: Final answer
    x = 358.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.