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Finding the Fourth Proportional to 420.18, 579.84 and 233.67

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Solution

The fourth proportional to 420.18, 579.84 and 233.67 is: 322.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.18 : 579.84 = 233.67 : x
  2. Step 2: Convert to fraction form
    420.18/579.84 = 233.67/x
  3. Step 3: Cross multiply
    420.18x = 579.84 × 233.67
  4. Step 4: Simplify right side
    420.18x = 135,491.21
  5. Step 5: Solve for x
    x = 135,491.21/420.18
  6. Step 6: Final answer
    x = 322.46

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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.