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Finding the Fourth Proportional to 523.78, 721.17 and 444.93

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Solution

The fourth proportional to 523.78, 721.17 and 444.93 is: 612.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.78 : 721.17 = 444.93 : x
  2. Step 2: Convert to fraction form
    523.78/721.17 = 444.93/x
  3. Step 3: Cross multiply
    523.78x = 721.17 × 444.93
  4. Step 4: Simplify right side
    523.78x = 320,870.17
  5. Step 5: Solve for x
    x = 320,870.17/523.78
  6. Step 6: Final answer
    x = 612.60

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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.