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Finding the Fourth Proportional to 491.52, 733.12 and 422.24

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Solution

The fourth proportional to 491.52, 733.12 and 422.24 is: 629.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.52 : 733.12 = 422.24 : x
  2. Step 2: Convert to fraction form
    491.52/733.12 = 422.24/x
  3. Step 3: Cross multiply
    491.52x = 733.12 × 422.24
  4. Step 4: Simplify right side
    491.52x = 309,552.59
  5. Step 5: Solve for x
    x = 309,552.59/491.52
  6. Step 6: Final answer
    x = 629.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.