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Finding the Fourth Proportional to 384.87, 577.27 and 96.31

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Solution

The fourth proportional to 384.87, 577.27 and 96.31 is: 144.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.87 : 577.27 = 96.31 : x
  2. Step 2: Convert to fraction form
    384.87/577.27 = 96.31/x
  3. Step 3: Cross multiply
    384.87x = 577.27 × 96.31
  4. Step 4: Simplify right side
    384.87x = 55,597.72
  5. Step 5: Solve for x
    x = 55,597.72/384.87
  6. Step 6: Final answer
    x = 144.46

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Why These Related Problems?

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