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Finding the Fourth Proportional to 500.96, 690.74 and 442.64

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Solution

The fourth proportional to 500.96, 690.74 and 442.64 is: 610.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.96 : 690.74 = 442.64 : x
  2. Step 2: Convert to fraction form
    500.96/690.74 = 442.64/x
  3. Step 3: Cross multiply
    500.96x = 690.74 × 442.64
  4. Step 4: Simplify right side
    500.96x = 305,743.49
  5. Step 5: Solve for x
    x = 305,743.49/500.96
  6. Step 6: Final answer
    x = 610.32

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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.