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Finding the Fourth Proportional to 464.43, 641.00 and 317.01

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Solution

The fourth proportional to 464.43, 641.00 and 317.01 is: 437.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.43 : 641.00 = 317.01 : x
  2. Step 2: Convert to fraction form
    464.43/641.00 = 317.01/x
  3. Step 3: Cross multiply
    464.43x = 641.00 × 317.01
  4. Step 4: Simplify right side
    464.43x = 203,201.82
  5. Step 5: Solve for x
    x = 203,201.82/464.43
  6. Step 6: Final answer
    x = 437.53

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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.