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Finding the Fourth Proportional to 500.98, 749.74 and 345.86

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Solution

The fourth proportional to 500.98, 749.74 and 345.86 is: 517.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.98 : 749.74 = 345.86 : x
  2. Step 2: Convert to fraction form
    500.98/749.74 = 345.86/x
  3. Step 3: Cross multiply
    500.98x = 749.74 × 345.86
  4. Step 4: Simplify right side
    500.98x = 259,305.08
  5. Step 5: Solve for x
    x = 259,305.08/500.98
  6. Step 6: Final answer
    x = 517.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.