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Finding the Fourth Proportional to 385.48, 577.32 and 190.12

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Solution

The fourth proportional to 385.48, 577.32 and 190.12 is: 284.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.48 : 577.32 = 190.12 : x
  2. Step 2: Convert to fraction form
    385.48/577.32 = 190.12/x
  3. Step 3: Cross multiply
    385.48x = 577.32 × 190.12
  4. Step 4: Simplify right side
    385.48x = 109,760.08
  5. Step 5: Solve for x
    x = 109,760.08/385.48
  6. Step 6: Final answer
    x = 284.74

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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.