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Finding the Fourth Proportional to 293.04, 439.51 and 76.63

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Solution

The fourth proportional to 293.04, 439.51 and 76.63 is: 114.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.04 : 439.51 = 76.63 : x
  2. Step 2: Convert to fraction form
    293.04/439.51 = 76.63/x
  3. Step 3: Cross multiply
    293.04x = 439.51 × 76.63
  4. Step 4: Simplify right side
    293.04x = 33,679.65
  5. Step 5: Solve for x
    x = 33,679.65/293.04
  6. Step 6: Final answer
    x = 114.93

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