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Finding the Fourth Proportional to 385.20, 578.52 and 383.52

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Solution

The fourth proportional to 385.20, 578.52 and 383.52 is: 576.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.20 : 578.52 = 383.52 : x
  2. Step 2: Convert to fraction form
    385.20/578.52 = 383.52/x
  3. Step 3: Cross multiply
    385.20x = 578.52 × 383.52
  4. Step 4: Simplify right side
    385.20x = 221,873.99
  5. Step 5: Solve for x
    x = 221,873.99/385.20
  6. Step 6: Final answer
    x = 576.00

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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.