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Finding the Fourth Proportional to 464.08, 694.84 and 292.56

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Solution

The fourth proportional to 464.08, 694.84 and 292.56 is: 438.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.08 : 694.84 = 292.56 : x
  2. Step 2: Convert to fraction form
    464.08/694.84 = 292.56/x
  3. Step 3: Cross multiply
    464.08x = 694.84 × 292.56
  4. Step 4: Simplify right side
    464.08x = 203,282.39
  5. Step 5: Solve for x
    x = 203,282.39/464.08
  6. Step 6: Final answer
    x = 438.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.