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Finding the Fourth Proportional to 486.98, 729.45 and 383.78

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Solution

The fourth proportional to 486.98, 729.45 and 383.78 is: 574.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.98 : 729.45 = 383.78 : x
  2. Step 2: Convert to fraction form
    486.98/729.45 = 383.78/x
  3. Step 3: Cross multiply
    486.98x = 729.45 × 383.78
  4. Step 4: Simplify right side
    486.98x = 279,944.67
  5. Step 5: Solve for x
    x = 279,944.67/486.98
  6. Step 6: Final answer
    x = 574.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.