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Finding the Fourth Proportional to 539.48, 807.63 and 410.00

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Solution

The fourth proportional to 539.48, 807.63 and 410.00 is: 613.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.48 : 807.63 = 410.00 : x
  2. Step 2: Convert to fraction form
    539.48/807.63 = 410.00/x
  3. Step 3: Cross multiply
    539.48x = 807.63 × 410.00
  4. Step 4: Simplify right side
    539.48x = 331,124.26
  5. Step 5: Solve for x
    x = 331,124.26/539.48
  6. Step 6: Final answer
    x = 613.79

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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.