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Finding the Fourth Proportional to 473.09, 650.66 and 379.68

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Solution

The fourth proportional to 473.09, 650.66 and 379.68 is: 522.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.09 : 650.66 = 379.68 : x
  2. Step 2: Convert to fraction form
    473.09/650.66 = 379.68/x
  3. Step 3: Cross multiply
    473.09x = 650.66 × 379.68
  4. Step 4: Simplify right side
    473.09x = 247,043.13
  5. Step 5: Solve for x
    x = 247,043.13/473.09
  6. Step 6: Final answer
    x = 522.20

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