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Finding the Fourth Proportional to 464.52, 640.15 and 340.22

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Solution

The fourth proportional to 464.52, 640.15 and 340.22 is: 468.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.52 : 640.15 = 340.22 : x
  2. Step 2: Convert to fraction form
    464.52/640.15 = 340.22/x
  3. Step 3: Cross multiply
    464.52x = 640.15 × 340.22
  4. Step 4: Simplify right side
    464.52x = 217,788.63
  5. Step 5: Solve for x
    x = 217,788.63/464.52
  6. Step 6: Final answer
    x = 468.85

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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.