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Finding the Fourth Proportional to 385.75, 578.40 and 203.10

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Solution

The fourth proportional to 385.75, 578.40 and 203.10 is: 304.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.75 : 578.40 = 203.10 : x
  2. Step 2: Convert to fraction form
    385.75/578.40 = 203.10/x
  3. Step 3: Cross multiply
    385.75x = 578.40 × 203.10
  4. Step 4: Simplify right side
    385.75x = 117,473.04
  5. Step 5: Solve for x
    x = 117,473.04/385.75
  6. Step 6: Final answer
    x = 304.53

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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.