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Finding the Fourth Proportional to 478.15, 716.88 and 185.41

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Solution

The fourth proportional to 478.15, 716.88 and 185.41 is: 277.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.15 : 716.88 = 185.41 : x
  2. Step 2: Convert to fraction form
    478.15/716.88 = 185.41/x
  3. Step 3: Cross multiply
    478.15x = 716.88 × 185.41
  4. Step 4: Simplify right side
    478.15x = 132,916.72
  5. Step 5: Solve for x
    x = 132,916.72/478.15
  6. Step 6: Final answer
    x = 277.98

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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.