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Finding the Fourth Proportional to 697.30, 962.24 and 417.69

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Solution

The fourth proportional to 697.30, 962.24 and 417.69 is: 576.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.30 : 962.24 = 417.69 : x
  2. Step 2: Convert to fraction form
    697.30/962.24 = 417.69/x
  3. Step 3: Cross multiply
    697.30x = 962.24 × 417.69
  4. Step 4: Simplify right side
    697.30x = 401,915.62
  5. Step 5: Solve for x
    x = 401,915.62/697.30
  6. Step 6: Final answer
    x = 576.39

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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.