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Finding the Fourth Proportional to 500.76, 689.83 and 416.38

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Solution

The fourth proportional to 500.76, 689.83 and 416.38 is: 573.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.76 : 689.83 = 416.38 : x
  2. Step 2: Convert to fraction form
    500.76/689.83 = 416.38/x
  3. Step 3: Cross multiply
    500.76x = 689.83 × 416.38
  4. Step 4: Simplify right side
    500.76x = 287,231.42
  5. Step 5: Solve for x
    x = 287,231.42/500.76
  6. Step 6: Final answer
    x = 573.59

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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.