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Finding the Fourth Proportional to 468.60, 701.96 and 285.41

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Solution

The fourth proportional to 468.60, 701.96 and 285.41 is: 427.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.60 : 701.96 = 285.41 : x
  2. Step 2: Convert to fraction form
    468.60/701.96 = 285.41/x
  3. Step 3: Cross multiply
    468.60x = 701.96 × 285.41
  4. Step 4: Simplify right side
    468.60x = 200,341.47
  5. Step 5: Solve for x
    x = 200,341.47/468.60
  6. Step 6: Final answer
    x = 427.53

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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.