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Finding the Fourth Proportional to 385.50, 531.83 and 296.83

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Solution

The fourth proportional to 385.50, 531.83 and 296.83 is: 409.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.50 : 531.83 = 296.83 : x
  2. Step 2: Convert to fraction form
    385.50/531.83 = 296.83/x
  3. Step 3: Cross multiply
    385.50x = 531.83 × 296.83
  4. Step 4: Simplify right side
    385.50x = 157,863.10
  5. Step 5: Solve for x
    x = 157,863.10/385.50
  6. Step 6: Final answer
    x = 409.50

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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.