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Finding the Fourth Proportional to 780.35, 1,170.24 and 293.27

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Solution

The fourth proportional to 780.35, 1,170.24 and 293.27 is: 439.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.35 : 1,170.24 = 293.27 : x
  2. Step 2: Convert to fraction form
    780.35/1,170.24 = 293.27/x
  3. Step 3: Cross multiply
    780.35x = 1,170.24 × 293.27
  4. Step 4: Simplify right side
    780.35x = 343,196.28
  5. Step 5: Solve for x
    x = 343,196.28/780.35
  6. Step 6: Final answer
    x = 439.80

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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.