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Finding the Fourth Proportional to 384.81, 531.05 and 210.17

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Solution

The fourth proportional to 384.81, 531.05 and 210.17 is: 290.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.81 : 531.05 = 210.17 : x
  2. Step 2: Convert to fraction form
    384.81/531.05 = 210.17/x
  3. Step 3: Cross multiply
    384.81x = 531.05 × 210.17
  4. Step 4: Simplify right side
    384.81x = 111,610.78
  5. Step 5: Solve for x
    x = 111,610.78/384.81
  6. Step 6: Final answer
    x = 290.04

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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.