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Finding the Fourth Proportional to 331.76, 497.36 and 228.74

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Solution

The fourth proportional to 331.76, 497.36 and 228.74 is: 342.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.76 : 497.36 = 228.74 : x
  2. Step 2: Convert to fraction form
    331.76/497.36 = 228.74/x
  3. Step 3: Cross multiply
    331.76x = 497.36 × 228.74
  4. Step 4: Simplify right side
    331.76x = 113,762.50
  5. Step 5: Solve for x
    x = 113,762.50/331.76
  6. Step 6: Final answer
    x = 342.91

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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.