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Finding the Fourth Proportional to 379.34, 569.01 and 321.50

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Solution

The fourth proportional to 379.34, 569.01 and 321.50 is: 482.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.34 : 569.01 = 321.50 : x
  2. Step 2: Convert to fraction form
    379.34/569.01 = 321.50/x
  3. Step 3: Cross multiply
    379.34x = 569.01 × 321.50
  4. Step 4: Simplify right side
    379.34x = 182,936.72
  5. Step 5: Solve for x
    x = 182,936.72/379.34
  6. Step 6: Final answer
    x = 482.25

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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.