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Finding the Fourth Proportional to 420.59, 580.45 and 254.81

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Solution

The fourth proportional to 420.59, 580.45 and 254.81 is: 351.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.59 : 580.45 = 254.81 : x
  2. Step 2: Convert to fraction form
    420.59/580.45 = 254.81/x
  3. Step 3: Cross multiply
    420.59x = 580.45 × 254.81
  4. Step 4: Simplify right side
    420.59x = 147,901.56
  5. Step 5: Solve for x
    x = 147,901.56/420.59
  6. Step 6: Final answer
    x = 351.66

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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.