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Finding the Fourth Proportional to 464.66, 640.92 and 353.89

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Solution

The fourth proportional to 464.66, 640.92 and 353.89 is: 488.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.66 : 640.92 = 353.89 : x
  2. Step 2: Convert to fraction form
    464.66/640.92 = 353.89/x
  3. Step 3: Cross multiply
    464.66x = 640.92 × 353.89
  4. Step 4: Simplify right side
    464.66x = 226,815.18
  5. Step 5: Solve for x
    x = 226,815.18/464.66
  6. Step 6: Final answer
    x = 488.13

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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.