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Finding the Fourth Proportional to 478.82, 660.48 and 380.54

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Solution

The fourth proportional to 478.82, 660.48 and 380.54 is: 524.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.82 : 660.48 = 380.54 : x
  2. Step 2: Convert to fraction form
    478.82/660.48 = 380.54/x
  3. Step 3: Cross multiply
    478.82x = 660.48 × 380.54
  4. Step 4: Simplify right side
    478.82x = 251,339.06
  5. Step 5: Solve for x
    x = 251,339.06/478.82
  6. Step 6: Final answer
    x = 524.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.