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Finding the Fourth Proportional to 666.55, 998.08 and 470.49

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Solution

The fourth proportional to 666.55, 998.08 and 470.49 is: 704.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.55 : 998.08 = 470.49 : x
  2. Step 2: Convert to fraction form
    666.55/998.08 = 470.49/x
  3. Step 3: Cross multiply
    666.55x = 998.08 × 470.49
  4. Step 4: Simplify right side
    666.55x = 469,590.66
  5. Step 5: Solve for x
    x = 469,590.66/666.55
  6. Step 6: Final answer
    x = 704.50

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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.