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Finding the Fourth Proportional to 464.08, 694.20 and 281.08

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Solution

The fourth proportional to 464.08, 694.20 and 281.08 is: 420.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.08 : 694.20 = 281.08 : x
  2. Step 2: Convert to fraction form
    464.08/694.20 = 281.08/x
  3. Step 3: Cross multiply
    464.08x = 694.20 × 281.08
  4. Step 4: Simplify right side
    464.08x = 195,125.74
  5. Step 5: Solve for x
    x = 195,125.74/464.08
  6. Step 6: Final answer
    x = 420.46

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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.