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Finding the Fourth Proportional to 663.33, 993.53 and 415.72

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Solution

The fourth proportional to 663.33, 993.53 and 415.72 is: 622.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.33 : 993.53 = 415.72 : x
  2. Step 2: Convert to fraction form
    663.33/993.53 = 415.72/x
  3. Step 3: Cross multiply
    663.33x = 993.53 × 415.72
  4. Step 4: Simplify right side
    663.33x = 413,030.70
  5. Step 5: Solve for x
    x = 413,030.70/663.33
  6. Step 6: Final answer
    x = 622.67

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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.