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Finding the Fourth Proportional to 464.52, 641 and 265.34

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Solution

The fourth proportional to 464.52, 641 and 265.34 is: 366.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.52 : 641 = 265.34 : x
  2. Step 2: Convert to fraction form
    464.52/641 = 265.34/x
  3. Step 3: Cross multiply
    464.52x = 641 × 265.34
  4. Step 4: Simplify right side
    464.52x = 170,082.94
  5. Step 5: Solve for x
    x = 170,082.94/464.52
  6. Step 6: Final answer
    x = 366.15

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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.