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Finding the Fourth Proportional to 464.14, 640.62 and 287.14

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Solution

The fourth proportional to 464.14, 640.62 and 287.14 is: 396.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.14 : 640.62 = 287.14 : x
  2. Step 2: Convert to fraction form
    464.14/640.62 = 287.14/x
  3. Step 3: Cross multiply
    464.14x = 640.62 × 287.14
  4. Step 4: Simplify right side
    464.14x = 183,947.63
  5. Step 5: Solve for x
    x = 183,947.63/464.14
  6. Step 6: Final answer
    x = 396.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.