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Finding the Fourth Proportional to 385.28, 578.52 and 342.08

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Solution

The fourth proportional to 385.28, 578.52 and 342.08 is: 513.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.28 : 578.52 = 342.08 : x
  2. Step 2: Convert to fraction form
    385.28/578.52 = 342.08/x
  3. Step 3: Cross multiply
    385.28x = 578.52 × 342.08
  4. Step 4: Simplify right side
    385.28x = 197,900.12
  5. Step 5: Solve for x
    x = 197,900.12/385.28
  6. Step 6: Final answer
    x = 513.65

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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.