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Finding the Fourth Proportional to 477.44, 716.16 and 285.12

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Solution

The fourth proportional to 477.44, 716.16 and 285.12 is: 427.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.44 : 716.16 = 285.12 : x
  2. Step 2: Convert to fraction form
    477.44/716.16 = 285.12/x
  3. Step 3: Cross multiply
    477.44x = 716.16 × 285.12
  4. Step 4: Simplify right side
    477.44x = 204,191.54
  5. Step 5: Solve for x
    x = 204,191.54/477.44
  6. Step 6: Final answer
    x = 427.68

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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.