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Finding the Fourth Proportional to 464.09, 640.55 and 277.70

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Solution

The fourth proportional to 464.09, 640.55 and 277.70 is: 383.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.09 : 640.55 = 277.70 : x
  2. Step 2: Convert to fraction form
    464.09/640.55 = 277.70/x
  3. Step 3: Cross multiply
    464.09x = 640.55 × 277.70
  4. Step 4: Simplify right side
    464.09x = 177,876.14
  5. Step 5: Solve for x
    x = 177,876.14/464.09
  6. Step 6: Final answer
    x = 383.28

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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.