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Finding the Fourth Proportional to 383.60, 529.36 and 228.40

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Solution

The fourth proportional to 383.60, 529.36 and 228.40 is: 315.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.60 : 529.36 = 228.40 : x
  2. Step 2: Convert to fraction form
    383.60/529.36 = 228.40/x
  3. Step 3: Cross multiply
    383.60x = 529.36 × 228.40
  4. Step 4: Simplify right side
    383.60x = 120,905.82
  5. Step 5: Solve for x
    x = 120,905.82/383.60
  6. Step 6: Final answer
    x = 315.19

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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.