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Finding the Fourth Proportional to 464.98, 641.65 and 265.82

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Solution

The fourth proportional to 464.98, 641.65 and 265.82 is: 366.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.98 : 641.65 = 265.82 : x
  2. Step 2: Convert to fraction form
    464.98/641.65 = 265.82/x
  3. Step 3: Cross multiply
    464.98x = 641.65 × 265.82
  4. Step 4: Simplify right side
    464.98x = 170,558.87
  5. Step 5: Solve for x
    x = 170,558.87/464.98
  6. Step 6: Final answer
    x = 366.81

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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.