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Finding the Fourth Proportional to 665.65, 997.62 and 357.67

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Solution

The fourth proportional to 665.65, 997.62 and 357.67 is: 536.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.65 : 997.62 = 357.67 : x
  2. Step 2: Convert to fraction form
    665.65/997.62 = 357.67/x
  3. Step 3: Cross multiply
    665.65x = 997.62 × 357.67
  4. Step 4: Simplify right side
    665.65x = 356,818.75
  5. Step 5: Solve for x
    x = 356,818.75/665.65
  6. Step 6: Final answer
    x = 536.05

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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.