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Finding the Fourth Proportional to 464.72, 694.42 and 334.10

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Solution

The fourth proportional to 464.72, 694.42 and 334.10 is: 499.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.72 : 694.42 = 334.10 : x
  2. Step 2: Convert to fraction form
    464.72/694.42 = 334.10/x
  3. Step 3: Cross multiply
    464.72x = 694.42 × 334.10
  4. Step 4: Simplify right side
    464.72x = 232,005.72
  5. Step 5: Solve for x
    x = 232,005.72/464.72
  6. Step 6: Final answer
    x = 499.24

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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.