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Finding the Fourth Proportional to 385.25, 531.78 and 297.77

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Solution

The fourth proportional to 385.25, 531.78 and 297.77 is: 411.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.25 : 531.78 = 297.77 : x
  2. Step 2: Convert to fraction form
    385.25/531.78 = 297.77/x
  3. Step 3: Cross multiply
    385.25x = 531.78 × 297.77
  4. Step 4: Simplify right side
    385.25x = 158,348.13
  5. Step 5: Solve for x
    x = 158,348.13/385.25
  6. Step 6: Final answer
    x = 411.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.