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Finding the Fourth Proportional to 384.67, 577.01 and 189.66

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Solution

The fourth proportional to 384.67, 577.01 and 189.66 is: 284.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.67 : 577.01 = 189.66 : x
  2. Step 2: Convert to fraction form
    384.67/577.01 = 189.66/x
  3. Step 3: Cross multiply
    384.67x = 577.01 × 189.66
  4. Step 4: Simplify right side
    384.67x = 109,435.72
  5. Step 5: Solve for x
    x = 109,435.72/384.67
  6. Step 6: Final answer
    x = 284.49

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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.