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Finding the Fourth Proportional to 696.64, 960.96 and 472.96

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Solution

The fourth proportional to 696.64, 960.96 and 472.96 is: 652.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.64 : 960.96 = 472.96 : x
  2. Step 2: Convert to fraction form
    696.64/960.96 = 472.96/x
  3. Step 3: Cross multiply
    696.64x = 960.96 × 472.96
  4. Step 4: Simplify right side
    696.64x = 454,495.64
  5. Step 5: Solve for x
    x = 454,495.64/696.64
  6. Step 6: Final answer
    x = 652.41

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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.