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Finding the Fourth Proportional to 464.94, 694.31 and 437.94

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Solution

The fourth proportional to 464.94, 694.31 and 437.94 is: 653.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.94 : 694.31 = 437.94 : x
  2. Step 2: Convert to fraction form
    464.94/694.31 = 437.94/x
  3. Step 3: Cross multiply
    464.94x = 694.31 × 437.94
  4. Step 4: Simplify right side
    464.94x = 304,063.93
  5. Step 5: Solve for x
    x = 304,063.93/464.94
  6. Step 6: Final answer
    x = 653.99

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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.