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Finding the Fourth Proportional to 385.35, 577.41 and 299.18

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Solution

The fourth proportional to 385.35, 577.41 and 299.18 is: 448.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.35 : 577.41 = 299.18 : x
  2. Step 2: Convert to fraction form
    385.35/577.41 = 299.18/x
  3. Step 3: Cross multiply
    385.35x = 577.41 × 299.18
  4. Step 4: Simplify right side
    385.35x = 172,749.52
  5. Step 5: Solve for x
    x = 172,749.52/385.35
  6. Step 6: Final answer
    x = 448.29

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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.