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Finding the Fourth Proportional to 720.25, 993.96 and 425.52

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Solution

The fourth proportional to 720.25, 993.96 and 425.52 is: 587.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.25 : 993.96 = 425.52 : x
  2. Step 2: Convert to fraction form
    720.25/993.96 = 425.52/x
  3. Step 3: Cross multiply
    720.25x = 993.96 × 425.52
  4. Step 4: Simplify right side
    720.25x = 422,947.73
  5. Step 5: Solve for x
    x = 422,947.73/720.25
  6. Step 6: Final answer
    x = 587.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.