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Finding the Fourth Proportional to 464.15, 640.76 and 317.55

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Solution

The fourth proportional to 464.15, 640.76 and 317.55 is: 438.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.15 : 640.76 = 317.55 : x
  2. Step 2: Convert to fraction form
    464.15/640.76 = 317.55/x
  3. Step 3: Cross multiply
    464.15x = 640.76 × 317.55
  4. Step 4: Simplify right side
    464.15x = 203,471.75
  5. Step 5: Solve for x
    x = 203,471.75/464.15
  6. Step 6: Final answer
    x = 438.37

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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.