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Finding the Fourth Proportional to 420.77, 580.71 and 243.75

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Solution

The fourth proportional to 420.77, 580.71 and 243.75 is: 336.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.77 : 580.71 = 243.75 : x
  2. Step 2: Convert to fraction form
    420.77/580.71 = 243.75/x
  3. Step 3: Cross multiply
    420.77x = 580.71 × 243.75
  4. Step 4: Simplify right side
    420.77x = 141,551.15
  5. Step 5: Solve for x
    x = 141,551.15/420.77
  6. Step 6: Final answer
    x = 336.41

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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.