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Finding the Fourth Proportional to 385.86, 580.41 and 332.40

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Solution

The fourth proportional to 385.86, 580.41 and 332.40 is: 500.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.86 : 580.41 = 332.40 : x
  2. Step 2: Convert to fraction form
    385.86/580.41 = 332.40/x
  3. Step 3: Cross multiply
    385.86x = 580.41 × 332.40
  4. Step 4: Simplify right side
    385.86x = 192,928.28
  5. Step 5: Solve for x
    x = 192,928.28/385.86
  6. Step 6: Final answer
    x = 500.00

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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.