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Finding the Fourth Proportional to 464.01, 640.30 and 277.51

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Solution

The fourth proportional to 464.01, 640.30 and 277.51 is: 382.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.01 : 640.30 = 277.51 : x
  2. Step 2: Convert to fraction form
    464.01/640.30 = 277.51/x
  3. Step 3: Cross multiply
    464.01x = 640.30 × 277.51
  4. Step 4: Simplify right side
    464.01x = 177,689.65
  5. Step 5: Solve for x
    x = 177,689.65/464.01
  6. Step 6: Final answer
    x = 382.94

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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.