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Finding the Fourth Proportional to 486.95, 729.33 and 378.41

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Solution

The fourth proportional to 486.95, 729.33 and 378.41 is: 566.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.95 : 729.33 = 378.41 : x
  2. Step 2: Convert to fraction form
    486.95/729.33 = 378.41/x
  3. Step 3: Cross multiply
    486.95x = 729.33 × 378.41
  4. Step 4: Simplify right side
    486.95x = 275,985.77
  5. Step 5: Solve for x
    x = 275,985.77/486.95
  6. Step 6: Final answer
    x = 566.76

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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.