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Finding the Fourth Proportional to 478.28, 716.88 and 285.50

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Solution

The fourth proportional to 478.28, 716.88 and 285.50 is: 427.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.28 : 716.88 = 285.50 : x
  2. Step 2: Convert to fraction form
    478.28/716.88 = 285.50/x
  3. Step 3: Cross multiply
    478.28x = 716.88 × 285.50
  4. Step 4: Simplify right side
    478.28x = 204,669.24
  5. Step 5: Solve for x
    x = 204,669.24/478.28
  6. Step 6: Final answer
    x = 427.93

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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.