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Finding the Fourth Proportional to 475.99, 657.49 and 366.81

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Solution

The fourth proportional to 475.99, 657.49 and 366.81 is: 506.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.99 : 657.49 = 366.81 : x
  2. Step 2: Convert to fraction form
    475.99/657.49 = 366.81/x
  3. Step 3: Cross multiply
    475.99x = 657.49 × 366.81
  4. Step 4: Simplify right side
    475.99x = 241,172.99
  5. Step 5: Solve for x
    x = 241,172.99/475.99
  6. Step 6: Final answer
    x = 506.68

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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.