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Finding the Fourth Proportional to 364.65, 547.56 and 228.57

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Solution

The fourth proportional to 364.65, 547.56 and 228.57 is: 343.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.65 : 547.56 = 228.57 : x
  2. Step 2: Convert to fraction form
    364.65/547.56 = 228.57/x
  3. Step 3: Cross multiply
    364.65x = 547.56 × 228.57
  4. Step 4: Simplify right side
    364.65x = 125,155.79
  5. Step 5: Solve for x
    x = 125,155.79/364.65
  6. Step 6: Final answer
    x = 343.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.