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Finding the Fourth Proportional to 780.32, 1,169.76 and 293

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Solution

The fourth proportional to 780.32, 1,169.76 and 293 is: 439.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.32 : 1,169.76 = 293 : x
  2. Step 2: Convert to fraction form
    780.32/1,169.76 = 293/x
  3. Step 3: Cross multiply
    780.32x = 1,169.76 × 293
  4. Step 4: Simplify right side
    780.32x = 342,739.68
  5. Step 5: Solve for x
    x = 342,739.68/780.32
  6. Step 6: Final answer
    x = 439.23

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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.