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Finding the Fourth Proportional to 661.66, 912.57 and 462.43

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Solution

The fourth proportional to 661.66, 912.57 and 462.43 is: 637.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.66 : 912.57 = 462.43 : x
  2. Step 2: Convert to fraction form
    661.66/912.57 = 462.43/x
  3. Step 3: Cross multiply
    661.66x = 912.57 × 462.43
  4. Step 4: Simplify right side
    661.66x = 421,997.92
  5. Step 5: Solve for x
    x = 421,997.92/661.66
  6. Step 6: Final answer
    x = 637.79

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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.