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Finding the Fourth Proportional to 722.47, 997.01 and 407.75

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Solution

The fourth proportional to 722.47, 997.01 and 407.75 is: 562.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.47 : 997.01 = 407.75 : x
  2. Step 2: Convert to fraction form
    722.47/997.01 = 407.75/x
  3. Step 3: Cross multiply
    722.47x = 997.01 × 407.75
  4. Step 4: Simplify right side
    722.47x = 406,525.33
  5. Step 5: Solve for x
    x = 406,525.33/722.47
  6. Step 6: Final answer
    x = 562.69

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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.