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Finding the Fourth Proportional to 351.34, 524.15 and 293.92

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Solution

The fourth proportional to 351.34, 524.15 and 293.92 is: 438.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.34 : 524.15 = 293.92 : x
  2. Step 2: Convert to fraction form
    351.34/524.15 = 293.92/x
  3. Step 3: Cross multiply
    351.34x = 524.15 × 293.92
  4. Step 4: Simplify right side
    351.34x = 154,058.17
  5. Step 5: Solve for x
    x = 154,058.17/351.34
  6. Step 6: Final answer
    x = 438.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.