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Finding the Fourth Proportional to 433.36, 597.98 and 293.78

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Solution

The fourth proportional to 433.36, 597.98 and 293.78 is: 405.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.36 : 597.98 = 293.78 : x
  2. Step 2: Convert to fraction form
    433.36/597.98 = 293.78/x
  3. Step 3: Cross multiply
    433.36x = 597.98 × 293.78
  4. Step 4: Simplify right side
    433.36x = 175,674.56
  5. Step 5: Solve for x
    x = 175,674.56/433.36
  6. Step 6: Final answer
    x = 405.38

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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.