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Finding the Fourth Proportional to 367.95, 507.79 and 228.15

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Solution

The fourth proportional to 367.95, 507.79 and 228.15 is: 314.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.95 : 507.79 = 228.15 : x
  2. Step 2: Convert to fraction form
    367.95/507.79 = 228.15/x
  3. Step 3: Cross multiply
    367.95x = 507.79 × 228.15
  4. Step 4: Simplify right side
    367.95x = 115,852.29
  5. Step 5: Solve for x
    x = 115,852.29/367.95
  6. Step 6: Final answer
    x = 314.86

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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.