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Finding the Fourth Proportional to 420.35, 579.99 and 233.84

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Solution

The fourth proportional to 420.35, 579.99 and 233.84 is: 322.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.35 : 579.99 = 233.84 : x
  2. Step 2: Convert to fraction form
    420.35/579.99 = 233.84/x
  3. Step 3: Cross multiply
    420.35x = 579.99 × 233.84
  4. Step 4: Simplify right side
    420.35x = 135,621.96
  5. Step 5: Solve for x
    x = 135,621.96/420.35
  6. Step 6: Final answer
    x = 322.64

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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.