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Finding the Fourth Proportional to 477.52, 716.32 and 203.68

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Solution

The fourth proportional to 477.52, 716.32 and 203.68 is: 305.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.52 : 716.32 = 203.68 : x
  2. Step 2: Convert to fraction form
    477.52/716.32 = 203.68/x
  3. Step 3: Cross multiply
    477.52x = 716.32 × 203.68
  4. Step 4: Simplify right side
    477.52x = 145,900.06
  5. Step 5: Solve for x
    x = 145,900.06/477.52
  6. Step 6: Final answer
    x = 305.54

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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.