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Finding the Fourth Proportional to 384.78, 577.16 and 96.21

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Solution

The fourth proportional to 384.78, 577.16 and 96.21 is: 144.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.78 : 577.16 = 96.21 : x
  2. Step 2: Convert to fraction form
    384.78/577.16 = 96.21/x
  3. Step 3: Cross multiply
    384.78x = 577.16 × 96.21
  4. Step 4: Simplify right side
    384.78x = 55,530.61
  5. Step 5: Solve for x
    x = 55,530.61/384.78
  6. Step 6: Final answer
    x = 144.32

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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.