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Finding the Fourth Proportional to 464.34, 640.56 and 277.84

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Solution

The fourth proportional to 464.34, 640.56 and 277.84 is: 383.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.34 : 640.56 = 277.84 : x
  2. Step 2: Convert to fraction form
    464.34/640.56 = 277.84/x
  3. Step 3: Cross multiply
    464.34x = 640.56 × 277.84
  4. Step 4: Simplify right side
    464.34x = 177,971.59
  5. Step 5: Solve for x
    x = 177,971.59/464.34
  6. Step 6: Final answer
    x = 383.28

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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.