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Finding the Fourth Proportional to 506.43, 756.91 and 433.30

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Solution

The fourth proportional to 506.43, 756.91 and 433.30 is: 647.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.43 : 756.91 = 433.30 : x
  2. Step 2: Convert to fraction form
    506.43/756.91 = 433.30/x
  3. Step 3: Cross multiply
    506.43x = 756.91 × 433.30
  4. Step 4: Simplify right side
    506.43x = 327,967.34
  5. Step 5: Solve for x
    x = 327,967.34/506.43
  6. Step 6: Final answer
    x = 647.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.