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Finding the Fourth Proportional to 610.68, 836.79 and 590.52

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Solution

The fourth proportional to 610.68, 836.79 and 590.52 is: 809.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.68 : 836.79 = 590.52 : x
  2. Step 2: Convert to fraction form
    610.68/836.79 = 590.52/x
  3. Step 3: Cross multiply
    610.68x = 836.79 × 590.52
  4. Step 4: Simplify right side
    610.68x = 494,141.23
  5. Step 5: Solve for x
    x = 494,141.23/610.68
  6. Step 6: Final answer
    x = 809.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.