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Finding the Fourth Proportional to 433.78, 597.30 and 293.83

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Solution

The fourth proportional to 433.78, 597.30 and 293.83 is: 404.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.78 : 597.30 = 293.83 : x
  2. Step 2: Convert to fraction form
    433.78/597.30 = 293.83/x
  3. Step 3: Cross multiply
    433.78x = 597.30 × 293.83
  4. Step 4: Simplify right side
    433.78x = 175,504.66
  5. Step 5: Solve for x
    x = 175,504.66/433.78
  6. Step 6: Final answer
    x = 404.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.