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Finding the Fourth Proportional to 384.22, 530.22 and 209.56

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Solution

The fourth proportional to 384.22, 530.22 and 209.56 is: 289.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.22 : 530.22 = 209.56 : x
  2. Step 2: Convert to fraction form
    384.22/530.22 = 209.56/x
  3. Step 3: Cross multiply
    384.22x = 530.22 × 209.56
  4. Step 4: Simplify right side
    384.22x = 111,112.90
  5. Step 5: Solve for x
    x = 111,112.90/384.22
  6. Step 6: Final answer
    x = 289.19

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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.