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Finding the Fourth Proportional to 384.84, 577.17 and 189.64

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Solution

The fourth proportional to 384.84, 577.17 and 189.64 is: 284.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.84 : 577.17 = 189.64 : x
  2. Step 2: Convert to fraction form
    384.84/577.17 = 189.64/x
  3. Step 3: Cross multiply
    384.84x = 577.17 × 189.64
  4. Step 4: Simplify right side
    384.84x = 109,454.52
  5. Step 5: Solve for x
    x = 109,454.52/384.84
  6. Step 6: Final answer
    x = 284.42

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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.