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Finding the Fourth Proportional to 383.46, 529.08 and 228.18

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Solution

The fourth proportional to 383.46, 529.08 and 228.18 is: 314.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.46 : 529.08 = 228.18 : x
  2. Step 2: Convert to fraction form
    383.46/529.08 = 228.18/x
  3. Step 3: Cross multiply
    383.46x = 529.08 × 228.18
  4. Step 4: Simplify right side
    383.46x = 120,725.47
  5. Step 5: Solve for x
    x = 120,725.47/383.46
  6. Step 6: Final answer
    x = 314.83

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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.