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Finding the Fourth Proportional to 621.44, 931.68 and 401.84

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Solution

The fourth proportional to 621.44, 931.68 and 401.84 is: 602.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.44 : 931.68 = 401.84 : x
  2. Step 2: Convert to fraction form
    621.44/931.68 = 401.84/x
  3. Step 3: Cross multiply
    621.44x = 931.68 × 401.84
  4. Step 4: Simplify right side
    621.44x = 374,386.29
  5. Step 5: Solve for x
    x = 374,386.29/621.44
  6. Step 6: Final answer
    x = 602.45

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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.