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Finding the Fourth Proportional to 722.20, 996.37 and 473.66

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Solution

The fourth proportional to 722.20, 996.37 and 473.66 is: 653.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.20 : 996.37 = 473.66 : x
  2. Step 2: Convert to fraction form
    722.20/996.37 = 473.66/x
  3. Step 3: Cross multiply
    722.20x = 996.37 × 473.66
  4. Step 4: Simplify right side
    722.20x = 471,937.53
  5. Step 5: Solve for x
    x = 471,937.53/722.20
  6. Step 6: Final answer
    x = 653.47

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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.