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Finding the Fourth Proportional to 697.17, 962.22 and 448.80

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Solution

The fourth proportional to 697.17, 962.22 and 448.80 is: 619.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.17 : 962.22 = 448.80 : x
  2. Step 2: Convert to fraction form
    697.17/962.22 = 448.80/x
  3. Step 3: Cross multiply
    697.17x = 962.22 × 448.80
  4. Step 4: Simplify right side
    697.17x = 431,844.34
  5. Step 5: Solve for x
    x = 431,844.34/697.17
  6. Step 6: Final answer
    x = 619.42

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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.