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Finding the Fourth Proportional to 632.93, 872.96 and 522.23

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Solution

The fourth proportional to 632.93, 872.96 and 522.23 is: 720.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.93 : 872.96 = 522.23 : x
  2. Step 2: Convert to fraction form
    632.93/872.96 = 522.23/x
  3. Step 3: Cross multiply
    632.93x = 872.96 × 522.23
  4. Step 4: Simplify right side
    632.93x = 455,878.92
  5. Step 5: Solve for x
    x = 455,878.92/632.93
  6. Step 6: Final answer
    x = 720.27

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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.