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Finding the Fourth Proportional to 464.77, 640.60 and 371.22

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Solution

The fourth proportional to 464.77, 640.60 and 371.22 is: 511.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.77 : 640.60 = 371.22 : x
  2. Step 2: Convert to fraction form
    464.77/640.60 = 371.22/x
  3. Step 3: Cross multiply
    464.77x = 640.60 × 371.22
  4. Step 4: Simplify right side
    464.77x = 237,803.53
  5. Step 5: Solve for x
    x = 237,803.53/464.77
  6. Step 6: Final answer
    x = 511.66

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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.