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Finding the Fourth Proportional to 722.56, 996.96 and 460.48

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Solution

The fourth proportional to 722.56, 996.96 and 460.48 is: 635.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.56 : 996.96 = 460.48 : x
  2. Step 2: Convert to fraction form
    722.56/996.96 = 460.48/x
  3. Step 3: Cross multiply
    722.56x = 996.96 × 460.48
  4. Step 4: Simplify right side
    722.56x = 459,080.14
  5. Step 5: Solve for x
    x = 459,080.14/722.56
  6. Step 6: Final answer
    x = 635.35

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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.