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Finding the Fourth Proportional to 666.34, 998.91 and 377.58

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Solution

The fourth proportional to 666.34, 998.91 and 377.58 is: 566.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.34 : 998.91 = 377.58 : x
  2. Step 2: Convert to fraction form
    666.34/998.91 = 377.58/x
  3. Step 3: Cross multiply
    666.34x = 998.91 × 377.58
  4. Step 4: Simplify right side
    666.34x = 377,165.50
  5. Step 5: Solve for x
    x = 377,165.50/666.34
  6. Step 6: Final answer
    x = 566.02

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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.