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Finding the Fourth Proportional to 697.14, 962.14 and 417.37

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Solution

The fourth proportional to 697.14, 962.14 and 417.37 is: 576.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.14 : 962.14 = 417.37 : x
  2. Step 2: Convert to fraction form
    697.14/962.14 = 417.37/x
  3. Step 3: Cross multiply
    697.14x = 962.14 × 417.37
  4. Step 4: Simplify right side
    697.14x = 401,568.37
  5. Step 5: Solve for x
    x = 401,568.37/697.14
  6. Step 6: Final answer
    x = 576.02

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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.