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Finding the Fourth Proportional to 419.96, 579.51 and 233.44

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Solution

The fourth proportional to 419.96, 579.51 and 233.44 is: 322.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.96 : 579.51 = 233.44 : x
  2. Step 2: Convert to fraction form
    419.96/579.51 = 233.44/x
  3. Step 3: Cross multiply
    419.96x = 579.51 × 233.44
  4. Step 4: Simplify right side
    419.96x = 135,280.81
  5. Step 5: Solve for x
    x = 135,280.81/419.96
  6. Step 6: Final answer
    x = 322.13

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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.