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Finding the Fourth Proportional to 477.73, 716.29 and 203.75

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Solution

The fourth proportional to 477.73, 716.29 and 203.75 is: 305.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.73 : 716.29 = 203.75 : x
  2. Step 2: Convert to fraction form
    477.73/716.29 = 203.75/x
  3. Step 3: Cross multiply
    477.73x = 716.29 × 203.75
  4. Step 4: Simplify right side
    477.73x = 145,943.83
  5. Step 5: Solve for x
    x = 145,943.83/477.73
  6. Step 6: Final answer
    x = 305.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.