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Finding the Fourth Proportional to 384.73, 577.09 and 96.17

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Solution

The fourth proportional to 384.73, 577.09 and 96.17 is: 144.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.73 : 577.09 = 96.17 : x
  2. Step 2: Convert to fraction form
    384.73/577.09 = 96.17/x
  3. Step 3: Cross multiply
    384.73x = 577.09 × 96.17
  4. Step 4: Simplify right side
    384.73x = 55,498.75
  5. Step 5: Solve for x
    x = 55,498.75/384.73
  6. Step 6: Final answer
    x = 144.25

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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.