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Finding the Fourth Proportional to 466.47, 696.96 and 450.32

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Solution

The fourth proportional to 466.47, 696.96 and 450.32 is: 672.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.47 : 696.96 = 450.32 : x
  2. Step 2: Convert to fraction form
    466.47/696.96 = 450.32/x
  3. Step 3: Cross multiply
    466.47x = 696.96 × 450.32
  4. Step 4: Simplify right side
    466.47x = 313,851.54
  5. Step 5: Solve for x
    x = 313,851.54/466.47
  6. Step 6: Final answer
    x = 672.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.