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Finding the Fourth Proportional to 663.66, 993.86 and 446.58

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Solution

The fourth proportional to 663.66, 993.86 and 446.58 is: 668.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.66 : 993.86 = 446.58 : x
  2. Step 2: Convert to fraction form
    663.66/993.86 = 446.58/x
  3. Step 3: Cross multiply
    663.66x = 993.86 × 446.58
  4. Step 4: Simplify right side
    663.66x = 443,838.00
  5. Step 5: Solve for x
    x = 443,838.00/663.66
  6. Step 6: Final answer
    x = 668.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.