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Finding the Fourth Proportional to 384.31, 529.35 and 301.26

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Solution

The fourth proportional to 384.31, 529.35 and 301.26 is: 414.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.31 : 529.35 = 301.26 : x
  2. Step 2: Convert to fraction form
    384.31/529.35 = 301.26/x
  3. Step 3: Cross multiply
    384.31x = 529.35 × 301.26
  4. Step 4: Simplify right side
    384.31x = 159,471.98
  5. Step 5: Solve for x
    x = 159,471.98/384.31
  6. Step 6: Final answer
    x = 414.96

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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.