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Finding the Fourth Proportional to 384.75, 531.05 and 253.89

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Solution

The fourth proportional to 384.75, 531.05 and 253.89 is: 350.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.75 : 531.05 = 253.89 : x
  2. Step 2: Convert to fraction form
    384.75/531.05 = 253.89/x
  3. Step 3: Cross multiply
    384.75x = 531.05 × 253.89
  4. Step 4: Simplify right side
    384.75x = 134,827.02
  5. Step 5: Solve for x
    x = 134,827.02/384.75
  6. Step 6: Final answer
    x = 350.43

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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.