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Finding the Fourth Proportional to 721.53, 994.77 and 459.45

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Solution

The fourth proportional to 721.53, 994.77 and 459.45 is: 633.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.53 : 994.77 = 459.45 : x
  2. Step 2: Convert to fraction form
    721.53/994.77 = 459.45/x
  3. Step 3: Cross multiply
    721.53x = 994.77 × 459.45
  4. Step 4: Simplify right side
    721.53x = 457,047.08
  5. Step 5: Solve for x
    x = 457,047.08/721.53
  6. Step 6: Final answer
    x = 633.44

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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.