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Finding the Fourth Proportional to 720.23, 994.17 and 440.66

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Solution

The fourth proportional to 720.23, 994.17 and 440.66 is: 608.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.23 : 994.17 = 440.66 : x
  2. Step 2: Convert to fraction form
    720.23/994.17 = 440.66/x
  3. Step 3: Cross multiply
    720.23x = 994.17 × 440.66
  4. Step 4: Simplify right side
    720.23x = 438,090.95
  5. Step 5: Solve for x
    x = 438,090.95/720.23
  6. Step 6: Final answer
    x = 608.27

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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.