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Finding the Fourth Proportional to 464.12, 640.49 and 287.11

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Solution

The fourth proportional to 464.12, 640.49 and 287.11 is: 396.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.12 : 640.49 = 287.11 : x
  2. Step 2: Convert to fraction form
    464.12/640.49 = 287.11/x
  3. Step 3: Cross multiply
    464.12x = 640.49 × 287.11
  4. Step 4: Simplify right side
    464.12x = 183,888.46
  5. Step 5: Solve for x
    x = 183,888.46/464.12
  6. Step 6: Final answer
    x = 396.21

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