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Finding the Fourth Proportional to 697.26, 962.07 and 417.66

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Solution

The fourth proportional to 697.26, 962.07 and 417.66 is: 576.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.26 : 962.07 = 417.66 : x
  2. Step 2: Convert to fraction form
    697.26/962.07 = 417.66/x
  3. Step 3: Cross multiply
    697.26x = 962.07 × 417.66
  4. Step 4: Simplify right side
    697.26x = 401,818.16
  5. Step 5: Solve for x
    x = 401,818.16/697.26
  6. Step 6: Final answer
    x = 576.28

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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.