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Finding the Fourth Proportional to 539.23, 807.37 and 506.88

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Solution

The fourth proportional to 539.23, 807.37 and 506.88 is: 758.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.23 : 807.37 = 506.88 : x
  2. Step 2: Convert to fraction form
    539.23/807.37 = 506.88/x
  3. Step 3: Cross multiply
    539.23x = 807.37 × 506.88
  4. Step 4: Simplify right side
    539.23x = 409,240.71
  5. Step 5: Solve for x
    x = 409,240.71/539.23
  6. Step 6: Final answer
    x = 758.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.