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Finding the Fourth Proportional to 433.11, 597.81 and 293.70

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Solution

The fourth proportional to 433.11, 597.81 and 293.70 is: 405.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.11 : 597.81 = 293.70 : x
  2. Step 2: Convert to fraction form
    433.11/597.81 = 293.70/x
  3. Step 3: Cross multiply
    433.11x = 597.81 × 293.70
  4. Step 4: Simplify right side
    433.11x = 175,576.80
  5. Step 5: Solve for x
    x = 175,576.80/433.11
  6. Step 6: Final answer
    x = 405.39

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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.