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Finding the Fourth Proportional to 384.68, 531.15 and 253.87

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Solution

The fourth proportional to 384.68, 531.15 and 253.87 is: 350.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.68 : 531.15 = 253.87 : x
  2. Step 2: Convert to fraction form
    384.68/531.15 = 253.87/x
  3. Step 3: Cross multiply
    384.68x = 531.15 × 253.87
  4. Step 4: Simplify right side
    384.68x = 134,843.05
  5. Step 5: Solve for x
    x = 134,843.05/384.68
  6. Step 6: Final answer
    x = 350.53

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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.