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Finding the Fourth Proportional to 351.84, 527.42 and 321.77

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Solution

The fourth proportional to 351.84, 527.42 and 321.77 is: 482.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.84 : 527.42 = 321.77 : x
  2. Step 2: Convert to fraction form
    351.84/527.42 = 321.77/x
  3. Step 3: Cross multiply
    351.84x = 527.42 × 321.77
  4. Step 4: Simplify right side
    351.84x = 169,707.93
  5. Step 5: Solve for x
    x = 169,707.93/351.84
  6. Step 6: Final answer
    x = 482.34

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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.