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Finding the Fourth Proportional to 464.52, 641.07 and 268.05

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Solution

The fourth proportional to 464.52, 641.07 and 268.05 is: 369.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.52 : 641.07 = 268.05 : x
  2. Step 2: Convert to fraction form
    464.52/641.07 = 268.05/x
  3. Step 3: Cross multiply
    464.52x = 641.07 × 268.05
  4. Step 4: Simplify right side
    464.52x = 171,838.81
  5. Step 5: Solve for x
    x = 171,838.81/464.52
  6. Step 6: Final answer
    x = 369.93

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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.