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Finding the Fourth Proportional to 384.20, 529.56 and 362.24

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Solution

The fourth proportional to 384.20, 529.56 and 362.24 is: 499.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.20 : 529.56 = 362.24 : x
  2. Step 2: Convert to fraction form
    384.20/529.56 = 362.24/x
  3. Step 3: Cross multiply
    384.20x = 529.56 × 362.24
  4. Step 4: Simplify right side
    384.20x = 191,827.81
  5. Step 5: Solve for x
    x = 191,827.81/384.20
  6. Step 6: Final answer
    x = 499.29

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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.