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Finding the Fourth Proportional to 433.35, 597.78 and 293.22

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Solution

The fourth proportional to 433.35, 597.78 and 293.22 is: 404.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.35 : 597.78 = 293.22 : x
  2. Step 2: Convert to fraction form
    433.35/597.78 = 293.22/x
  3. Step 3: Cross multiply
    433.35x = 597.78 × 293.22
  4. Step 4: Simplify right side
    433.35x = 175,281.05
  5. Step 5: Solve for x
    x = 175,281.05/433.35
  6. Step 6: Final answer
    x = 404.48

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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.