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Finding the Fourth Proportional to 478.24, 716.27 and 285.46

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Solution

The fourth proportional to 478.24, 716.27 and 285.46 is: 427.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.24 : 716.27 = 285.46 : x
  2. Step 2: Convert to fraction form
    478.24/716.27 = 285.46/x
  3. Step 3: Cross multiply
    478.24x = 716.27 × 285.46
  4. Step 4: Simplify right side
    478.24x = 204,466.43
  5. Step 5: Solve for x
    x = 204,466.43/478.24
  6. Step 6: Final answer
    x = 427.54

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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.