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Finding the Fourth Proportional to 357.78, 537.15 and 293.46

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Solution

The fourth proportional to 357.78, 537.15 and 293.46 is: 440.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.78 : 537.15 = 293.46 : x
  2. Step 2: Convert to fraction form
    357.78/537.15 = 293.46/x
  3. Step 3: Cross multiply
    357.78x = 537.15 × 293.46
  4. Step 4: Simplify right side
    357.78x = 157,632.04
  5. Step 5: Solve for x
    x = 157,632.04/357.78
  6. Step 6: Final answer
    x = 440.58

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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.