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Finding the Fourth Proportional to 293.04, 439.52 and 76.64

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Solution

The fourth proportional to 293.04, 439.52 and 76.64 is: 114.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.04 : 439.52 = 76.64 : x
  2. Step 2: Convert to fraction form
    293.04/439.52 = 76.64/x
  3. Step 3: Cross multiply
    293.04x = 439.52 × 76.64
  4. Step 4: Simplify right side
    293.04x = 33,682.23
  5. Step 5: Solve for x
    x = 33,682.23/293.04
  6. Step 6: Final answer
    x = 114.94

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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.