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Finding the Fourth Proportional to 420.12, 579.76 and 233.62

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Solution

The fourth proportional to 420.12, 579.76 and 233.62 is: 322.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.12 : 579.76 = 233.62 : x
  2. Step 2: Convert to fraction form
    420.12/579.76 = 233.62/x
  3. Step 3: Cross multiply
    420.12x = 579.76 × 233.62
  4. Step 4: Simplify right side
    420.12x = 135,441.50
  5. Step 5: Solve for x
    x = 135,441.50/420.12
  6. Step 6: Final answer
    x = 322.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.