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Finding the Fourth Proportional to 467.15, 694.37 and 454.68

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Solution

The fourth proportional to 467.15, 694.37 and 454.68 is: 675.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.15 : 694.37 = 454.68 : x
  2. Step 2: Convert to fraction form
    467.15/694.37 = 454.68/x
  3. Step 3: Cross multiply
    467.15x = 694.37 × 454.68
  4. Step 4: Simplify right side
    467.15x = 315,717.29
  5. Step 5: Solve for x
    x = 315,717.29/467.15
  6. Step 6: Final answer
    x = 675.84

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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.