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Finding the Fourth Proportional to 621.64, 932.56 and 210.81

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Solution

The fourth proportional to 621.64, 932.56 and 210.81 is: 316.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.64 : 932.56 = 210.81 : x
  2. Step 2: Convert to fraction form
    621.64/932.56 = 210.81/x
  3. Step 3: Cross multiply
    621.64x = 932.56 × 210.81
  4. Step 4: Simplify right side
    621.64x = 196,592.45
  5. Step 5: Solve for x
    x = 196,592.45/621.64
  6. Step 6: Final answer
    x = 316.25

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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.