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Finding the Fourth Proportional to 464.24, 641.04 and 387.02

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Solution

The fourth proportional to 464.24, 641.04 and 387.02 is: 534.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.24 : 641.04 = 387.02 : x
  2. Step 2: Convert to fraction form
    464.24/641.04 = 387.02/x
  3. Step 3: Cross multiply
    464.24x = 641.04 × 387.02
  4. Step 4: Simplify right side
    464.24x = 248,095.30
  5. Step 5: Solve for x
    x = 248,095.30/464.24
  6. Step 6: Final answer
    x = 534.41

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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.