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Finding the Fourth Proportional to 697.42, 962.36 and 417.61

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Solution

The fourth proportional to 697.42, 962.36 and 417.61 is: 576.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.42 : 962.36 = 417.61 : x
  2. Step 2: Convert to fraction form
    697.42/962.36 = 417.61/x
  3. Step 3: Cross multiply
    697.42x = 962.36 × 417.61
  4. Step 4: Simplify right side
    697.42x = 401,891.16
  5. Step 5: Solve for x
    x = 401,891.16/697.42
  6. Step 6: Final answer
    x = 576.25

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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.