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Finding the Fourth Proportional to 666.08, 997.84 and 376.64

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Solution

The fourth proportional to 666.08, 997.84 and 376.64 is: 564.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.08 : 997.84 = 376.64 : x
  2. Step 2: Convert to fraction form
    666.08/997.84 = 376.64/x
  3. Step 3: Cross multiply
    666.08x = 997.84 × 376.64
  4. Step 4: Simplify right side
    666.08x = 375,826.46
  5. Step 5: Solve for x
    x = 375,826.46/666.08
  6. Step 6: Final answer
    x = 564.24

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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.