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Finding the Fourth Proportional to 697.37, 962.19 and 417.49

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Solution

The fourth proportional to 697.37, 962.19 and 417.49 is: 576.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.37 : 962.19 = 417.49 : x
  2. Step 2: Convert to fraction form
    697.37/962.19 = 417.49/x
  3. Step 3: Cross multiply
    697.37x = 962.19 × 417.49
  4. Step 4: Simplify right side
    697.37x = 401,704.70
  5. Step 5: Solve for x
    x = 401,704.70/697.37
  6. Step 6: Final answer
    x = 576.03

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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.