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Finding the Fourth Proportional to 384.14, 575.71 and 210.87

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Solution

The fourth proportional to 384.14, 575.71 and 210.87 is: 316.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.14 : 575.71 = 210.87 : x
  2. Step 2: Convert to fraction form
    384.14/575.71 = 210.87/x
  3. Step 3: Cross multiply
    384.14x = 575.71 × 210.87
  4. Step 4: Simplify right side
    384.14x = 121,399.44
  5. Step 5: Solve for x
    x = 121,399.44/384.14
  6. Step 6: Final answer
    x = 316.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.