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Finding the Fourth Proportional to 354.19, 531.15 and 293.44

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Solution

The fourth proportional to 354.19, 531.15 and 293.44 is: 440.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.19 : 531.15 = 293.44 : x
  2. Step 2: Convert to fraction form
    354.19/531.15 = 293.44/x
  3. Step 3: Cross multiply
    354.19x = 531.15 × 293.44
  4. Step 4: Simplify right side
    354.19x = 155,860.66
  5. Step 5: Solve for x
    x = 155,860.66/354.19
  6. Step 6: Final answer
    x = 440.05

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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.