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Finding the Fourth Proportional to 500.66, 691.09 and 376.67

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Solution

The fourth proportional to 500.66, 691.09 and 376.67 is: 519.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.66 : 691.09 = 376.67 : x
  2. Step 2: Convert to fraction form
    500.66/691.09 = 376.67/x
  3. Step 3: Cross multiply
    500.66x = 691.09 × 376.67
  4. Step 4: Simplify right side
    500.66x = 260,312.87
  5. Step 5: Solve for x
    x = 260,312.87/500.66
  6. Step 6: Final answer
    x = 519.94

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