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Finding the Fourth Proportional to 696.54, 962.00 and 475.11

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Solution

The fourth proportional to 696.54, 962.00 and 475.11 is: 656.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.54 : 962.00 = 475.11 : x
  2. Step 2: Convert to fraction form
    696.54/962.00 = 475.11/x
  3. Step 3: Cross multiply
    696.54x = 962.00 × 475.11
  4. Step 4: Simplify right side
    696.54x = 457,053.44
  5. Step 5: Solve for x
    x = 457,053.44/696.54
  6. Step 6: Final answer
    x = 656.18

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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.