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Finding the Fourth Proportional to 384.86, 577.29 and 96.30

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Solution

The fourth proportional to 384.86, 577.29 and 96.30 is: 144.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.86 : 577.29 = 96.30 : x
  2. Step 2: Convert to fraction form
    384.86/577.29 = 96.30/x
  3. Step 3: Cross multiply
    384.86x = 577.29 × 96.30
  4. Step 4: Simplify right side
    384.86x = 55,593.03
  5. Step 5: Solve for x
    x = 55,593.03/384.86
  6. Step 6: Final answer
    x = 144.45

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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.