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Finding the Fourth Proportional to 622.95, 932.81 and 332.97

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Solution

The fourth proportional to 622.95, 932.81 and 332.97 is: 498.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.95 : 932.81 = 332.97 : x
  2. Step 2: Convert to fraction form
    622.95/932.81 = 332.97/x
  3. Step 3: Cross multiply
    622.95x = 932.81 × 332.97
  4. Step 4: Simplify right side
    622.95x = 310,596.08
  5. Step 5: Solve for x
    x = 310,596.08/622.95
  6. Step 6: Final answer
    x = 498.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.