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Finding the Fourth Proportional to 722.16, 996.54 and 407.43

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Solution

The fourth proportional to 722.16, 996.54 and 407.43 is: 562.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.16 : 996.54 = 407.43 : x
  2. Step 2: Convert to fraction form
    722.16/996.54 = 407.43/x
  3. Step 3: Cross multiply
    722.16x = 996.54 × 407.43
  4. Step 4: Simplify right side
    722.16x = 406,020.29
  5. Step 5: Solve for x
    x = 406,020.29/722.16
  6. Step 6: Final answer
    x = 562.23

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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.