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Finding the Fourth Proportional to 433.26, 598.06 and 293.69

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Solution

The fourth proportional to 433.26, 598.06 and 293.69 is: 405.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.26 : 598.06 = 293.69 : x
  2. Step 2: Convert to fraction form
    433.26/598.06 = 293.69/x
  3. Step 3: Cross multiply
    433.26x = 598.06 × 293.69
  4. Step 4: Simplify right side
    433.26x = 175,639.78
  5. Step 5: Solve for x
    x = 175,639.78/433.26
  6. Step 6: Final answer
    x = 405.40

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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.