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Finding the Fourth Proportional to 660.22, 911.10 and 380.47

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Solution

The fourth proportional to 660.22, 911.10 and 380.47 is: 525.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.22 : 911.10 = 380.47 : x
  2. Step 2: Convert to fraction form
    660.22/911.10 = 380.47/x
  3. Step 3: Cross multiply
    660.22x = 911.10 × 380.47
  4. Step 4: Simplify right side
    660.22x = 346,646.22
  5. Step 5: Solve for x
    x = 346,646.22/660.22
  6. Step 6: Final answer
    x = 525.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.