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Finding the Fourth Proportional to 697.46, 962.44 and 417.64

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Solution

The fourth proportional to 697.46, 962.44 and 417.64 is: 576.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.46 : 962.44 = 417.64 : x
  2. Step 2: Convert to fraction form
    697.46/962.44 = 417.64/x
  3. Step 3: Cross multiply
    697.46x = 962.44 × 417.64
  4. Step 4: Simplify right side
    697.46x = 401,953.44
  5. Step 5: Solve for x
    x = 401,953.44/697.46
  6. Step 6: Final answer
    x = 576.31

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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.