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Finding the Fourth Proportional to 697.20, 962.24 and 417.44

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Solution

The fourth proportional to 697.20, 962.24 and 417.44 is: 576.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.20 : 962.24 = 417.44 : x
  2. Step 2: Convert to fraction form
    697.20/962.24 = 417.44/x
  3. Step 3: Cross multiply
    697.20x = 962.24 × 417.44
  4. Step 4: Simplify right side
    697.20x = 401,677.47
  5. Step 5: Solve for x
    x = 401,677.47/697.20
  6. Step 6: Final answer
    x = 576.13

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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.