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Finding the Fourth Proportional to 539.26, 807.37 and 417.76

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Solution

The fourth proportional to 539.26, 807.37 and 417.76 is: 625.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.26 : 807.37 = 417.76 : x
  2. Step 2: Convert to fraction form
    539.26/807.37 = 417.76/x
  3. Step 3: Cross multiply
    539.26x = 807.37 × 417.76
  4. Step 4: Simplify right side
    539.26x = 337,283.83
  5. Step 5: Solve for x
    x = 337,283.83/539.26
  6. Step 6: Final answer
    x = 625.46

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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.