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Finding the Fourth Proportional to 539.01, 809.10 and 431.46

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Solution

The fourth proportional to 539.01, 809.10 and 431.46 is: 647.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.01 : 809.10 = 431.46 : x
  2. Step 2: Convert to fraction form
    539.01/809.10 = 431.46/x
  3. Step 3: Cross multiply
    539.01x = 809.10 × 431.46
  4. Step 4: Simplify right side
    539.01x = 349,094.29
  5. Step 5: Solve for x
    x = 349,094.29/539.01
  6. Step 6: Final answer
    x = 647.66

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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.