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Finding the Fourth Proportional to 384.09, 529.76 and 244.09

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Solution

The fourth proportional to 384.09, 529.76 and 244.09 is: 336.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.09 : 529.76 = 244.09 : x
  2. Step 2: Convert to fraction form
    384.09/529.76 = 244.09/x
  3. Step 3: Cross multiply
    384.09x = 529.76 × 244.09
  4. Step 4: Simplify right side
    384.09x = 129,309.12
  5. Step 5: Solve for x
    x = 129,309.12/384.09
  6. Step 6: Final answer
    x = 336.66

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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.