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Finding the Fourth Proportional to 420.55, 579.78 and 289.33

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Solution

The fourth proportional to 420.55, 579.78 and 289.33 is: 398.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.55 : 579.78 = 289.33 : x
  2. Step 2: Convert to fraction form
    420.55/579.78 = 289.33/x
  3. Step 3: Cross multiply
    420.55x = 579.78 × 289.33
  4. Step 4: Simplify right side
    420.55x = 167,746.30
  5. Step 5: Solve for x
    x = 167,746.30/420.55
  6. Step 6: Final answer
    x = 398.88

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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.