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Finding the Fourth Proportional to 666.96, 998.84 and 341.52

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Solution

The fourth proportional to 666.96, 998.84 and 341.52 is: 511.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.96 : 998.84 = 341.52 : x
  2. Step 2: Convert to fraction form
    666.96/998.84 = 341.52/x
  3. Step 3: Cross multiply
    666.96x = 998.84 × 341.52
  4. Step 4: Simplify right side
    666.96x = 341,123.84
  5. Step 5: Solve for x
    x = 341,123.84/666.96
  6. Step 6: Final answer
    x = 511.46

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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.