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Finding the Fourth Proportional to 384.87, 577.61 and 141.47

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Solution

The fourth proportional to 384.87, 577.61 and 141.47 is: 212.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.87 : 577.61 = 141.47 : x
  2. Step 2: Convert to fraction form
    384.87/577.61 = 141.47/x
  3. Step 3: Cross multiply
    384.87x = 577.61 × 141.47
  4. Step 4: Simplify right side
    384.87x = 81,713.40
  5. Step 5: Solve for x
    x = 81,713.40/384.87
  6. Step 6: Final answer
    x = 212.31

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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.