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Finding the Fourth Proportional to 621.24, 931.68 and 405.96

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Solution

The fourth proportional to 621.24, 931.68 and 405.96 is: 608.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.24 : 931.68 = 405.96 : x
  2. Step 2: Convert to fraction form
    621.24/931.68 = 405.96/x
  3. Step 3: Cross multiply
    621.24x = 931.68 × 405.96
  4. Step 4: Simplify right side
    621.24x = 378,224.81
  5. Step 5: Solve for x
    x = 378,224.81/621.24
  6. Step 6: Final answer
    x = 608.82

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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.