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Finding the Fourth Proportional to 385.35, 578.09 and 169.08

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Solution

The fourth proportional to 385.35, 578.09 and 169.08 is: 253.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.35 : 578.09 = 169.08 : x
  2. Step 2: Convert to fraction form
    385.35/578.09 = 169.08/x
  3. Step 3: Cross multiply
    385.35x = 578.09 × 169.08
  4. Step 4: Simplify right side
    385.35x = 97,739.72
  5. Step 5: Solve for x
    x = 97,739.72/385.35
  6. Step 6: Final answer
    x = 253.64

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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.