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Finding the Fourth Proportional to 462.05, 688.51 and 447.37

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Solution

The fourth proportional to 462.05, 688.51 and 447.37 is: 666.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.05 : 688.51 = 447.37 : x
  2. Step 2: Convert to fraction form
    462.05/688.51 = 447.37/x
  3. Step 3: Cross multiply
    462.05x = 688.51 × 447.37
  4. Step 4: Simplify right side
    462.05x = 308,013.04
  5. Step 5: Solve for x
    x = 308,013.04/462.05
  6. Step 6: Final answer
    x = 666.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.