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Finding the Fourth Proportional to 384.11, 530.07 and 209.46

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Solution

The fourth proportional to 384.11, 530.07 and 209.46 is: 289.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.11 : 530.07 = 209.46 : x
  2. Step 2: Convert to fraction form
    384.11/530.07 = 209.46/x
  3. Step 3: Cross multiply
    384.11x = 530.07 × 209.46
  4. Step 4: Simplify right side
    384.11x = 111,028.46
  5. Step 5: Solve for x
    x = 111,028.46/384.11
  6. Step 6: Final answer
    x = 289.05

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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.