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Finding the Fourth Proportional to 383.60, 529.16 and 228.32

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Solution

The fourth proportional to 383.60, 529.16 and 228.32 is: 314.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.60 : 529.16 = 228.32 : x
  2. Step 2: Convert to fraction form
    383.60/529.16 = 228.32/x
  3. Step 3: Cross multiply
    383.60x = 529.16 × 228.32
  4. Step 4: Simplify right side
    383.60x = 120,817.81
  5. Step 5: Solve for x
    x = 120,817.81/383.60
  6. Step 6: Final answer
    x = 314.96

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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.