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Finding the Fourth Proportional to 352.81, 486.77 and 228.57

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Solution

The fourth proportional to 352.81, 486.77 and 228.57 is: 315.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.81 : 486.77 = 228.57 : x
  2. Step 2: Convert to fraction form
    352.81/486.77 = 228.57/x
  3. Step 3: Cross multiply
    352.81x = 486.77 × 228.57
  4. Step 4: Simplify right side
    352.81x = 111,259.23
  5. Step 5: Solve for x
    x = 111,259.23/352.81
  6. Step 6: Final answer
    x = 315.35

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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.