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Finding the Fourth Proportional to 696.62, 961.28 and 472.10

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Solution

The fourth proportional to 696.62, 961.28 and 472.10 is: 651.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.62 : 961.28 = 472.10 : x
  2. Step 2: Convert to fraction form
    696.62/961.28 = 472.10/x
  3. Step 3: Cross multiply
    696.62x = 961.28 × 472.10
  4. Step 4: Simplify right side
    696.62x = 453,820.29
  5. Step 5: Solve for x
    x = 453,820.29/696.62
  6. Step 6: Final answer
    x = 651.46

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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.