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Finding the Fourth Proportional to 384.76, 577.46 and 199.79

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Solution

The fourth proportional to 384.76, 577.46 and 199.79 is: 299.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.76 : 577.46 = 199.79 : x
  2. Step 2: Convert to fraction form
    384.76/577.46 = 199.79/x
  3. Step 3: Cross multiply
    384.76x = 577.46 × 199.79
  4. Step 4: Simplify right side
    384.76x = 115,368.35
  5. Step 5: Solve for x
    x = 115,368.35/384.76
  6. Step 6: Final answer
    x = 299.85

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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.