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Finding the Fourth Proportional to 433.06, 597.84 and 293.91

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Solution

The fourth proportional to 433.06, 597.84 and 293.91 is: 405.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.06 : 597.84 = 293.91 : x
  2. Step 2: Convert to fraction form
    433.06/597.84 = 293.91/x
  3. Step 3: Cross multiply
    433.06x = 597.84 × 293.91
  4. Step 4: Simplify right side
    433.06x = 175,711.15
  5. Step 5: Solve for x
    x = 175,711.15/433.06
  6. Step 6: Final answer
    x = 405.75

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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.