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Finding the Fourth Proportional to 384.50, 529.61 and 301.56

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Solution

The fourth proportional to 384.50, 529.61 and 301.56 is: 415.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.50 : 529.61 = 301.56 : x
  2. Step 2: Convert to fraction form
    384.50/529.61 = 301.56/x
  3. Step 3: Cross multiply
    384.50x = 529.61 × 301.56
  4. Step 4: Simplify right side
    384.50x = 159,707.68
  5. Step 5: Solve for x
    x = 159,707.68/384.50
  6. Step 6: Final answer
    x = 415.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.