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Finding the Fourth Proportional to 761.06, 1,141.15 and 298.29

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Solution

The fourth proportional to 761.06, 1,141.15 and 298.29 is: 447.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.06 : 1,141.15 = 298.29 : x
  2. Step 2: Convert to fraction form
    761.06/1,141.15 = 298.29/x
  3. Step 3: Cross multiply
    761.06x = 1,141.15 × 298.29
  4. Step 4: Simplify right side
    761.06x = 340,397.45
  5. Step 5: Solve for x
    x = 340,397.45/761.06
  6. Step 6: Final answer
    x = 447.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.