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Finding the Fourth Proportional to 384.10, 529.95 and 228.88

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Solution

The fourth proportional to 384.10, 529.95 and 228.88 is: 315.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.10 : 529.95 = 228.88 : x
  2. Step 2: Convert to fraction form
    384.10/529.95 = 228.88/x
  3. Step 3: Cross multiply
    384.10x = 529.95 × 228.88
  4. Step 4: Simplify right side
    384.10x = 121,294.96
  5. Step 5: Solve for x
    x = 121,294.96/384.10
  6. Step 6: Final answer
    x = 315.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.