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Finding the Fourth Proportional to 722.56, 996.48 and 473.80

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Solution

The fourth proportional to 722.56, 996.48 and 473.80 is: 653.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.56 : 996.48 = 473.80 : x
  2. Step 2: Convert to fraction form
    722.56/996.48 = 473.80/x
  3. Step 3: Cross multiply
    722.56x = 996.48 × 473.80
  4. Step 4: Simplify right side
    722.56x = 472,132.22
  5. Step 5: Solve for x
    x = 472,132.22/722.56
  6. Step 6: Final answer
    x = 653.42

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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.