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Finding the Fourth Proportional to 464.47, 641.08 and 317.31

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Solution

The fourth proportional to 464.47, 641.08 and 317.31 is: 437.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.47 : 641.08 = 317.31 : x
  2. Step 2: Convert to fraction form
    464.47/641.08 = 317.31/x
  3. Step 3: Cross multiply
    464.47x = 641.08 × 317.31
  4. Step 4: Simplify right side
    464.47x = 203,421.09
  5. Step 5: Solve for x
    x = 203,421.09/464.47
  6. Step 6: Final answer
    x = 437.96

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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.