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Finding the Fourth Proportional to 761.32, 1,141.30 and 298.99

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Solution

The fourth proportional to 761.32, 1,141.30 and 298.99 is: 448.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.32 : 1,141.30 = 298.99 : x
  2. Step 2: Convert to fraction form
    761.32/1,141.30 = 298.99/x
  3. Step 3: Cross multiply
    761.32x = 1,141.30 × 298.99
  4. Step 4: Simplify right side
    761.32x = 341,237.29
  5. Step 5: Solve for x
    x = 341,237.29/761.32
  6. Step 6: Final answer
    x = 448.22

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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.