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Finding the Fourth Proportional to 500.59, 690.77 and 287.91

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Solution

The fourth proportional to 500.59, 690.77 and 287.91 is: 397.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.59 : 690.77 = 287.91 : x
  2. Step 2: Convert to fraction form
    500.59/690.77 = 287.91/x
  3. Step 3: Cross multiply
    500.59x = 690.77 × 287.91
  4. Step 4: Simplify right side
    500.59x = 198,879.59
  5. Step 5: Solve for x
    x = 198,879.59/500.59
  6. Step 6: Final answer
    x = 397.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.