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Finding the Fourth Proportional to 478.53, 716.94 and 382.14

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Solution

The fourth proportional to 478.53, 716.94 and 382.14 is: 572.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.53 : 716.94 = 382.14 : x
  2. Step 2: Convert to fraction form
    478.53/716.94 = 382.14/x
  3. Step 3: Cross multiply
    478.53x = 716.94 × 382.14
  4. Step 4: Simplify right side
    478.53x = 273,971.45
  5. Step 5: Solve for x
    x = 273,971.45/478.53
  6. Step 6: Final answer
    x = 572.53

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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.