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Finding the Fourth Proportional to 794.24, 1,192 and 307.52

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Solution

The fourth proportional to 794.24, 1,192 and 307.52 is: 461.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.24 : 1,192 = 307.52 : x
  2. Step 2: Convert to fraction form
    794.24/1,192 = 307.52/x
  3. Step 3: Cross multiply
    794.24x = 1,192 × 307.52
  4. Step 4: Simplify right side
    794.24x = 366,563.84
  5. Step 5: Solve for x
    x = 366,563.84/794.24
  6. Step 6: Final answer
    x = 461.53

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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.