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Finding the Fourth Proportional to 385.50, 532 and 228.06

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Solution

The fourth proportional to 385.50, 532 and 228.06 is: 314.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.50 : 532 = 228.06 : x
  2. Step 2: Convert to fraction form
    385.50/532 = 228.06/x
  3. Step 3: Cross multiply
    385.50x = 532 × 228.06
  4. Step 4: Simplify right side
    385.50x = 121,327.92
  5. Step 5: Solve for x
    x = 121,327.92/385.50
  6. Step 6: Final answer
    x = 314.73

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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.