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Finding the Fourth Proportional to 640.62, 960.91 and 434.67

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Solution

The fourth proportional to 640.62, 960.91 and 434.67 is: 651.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.62 : 960.91 = 434.67 : x
  2. Step 2: Convert to fraction form
    640.62/960.91 = 434.67/x
  3. Step 3: Cross multiply
    640.62x = 960.91 × 434.67
  4. Step 4: Simplify right side
    640.62x = 417,678.75
  5. Step 5: Solve for x
    x = 417,678.75/640.62
  6. Step 6: Final answer
    x = 651.99

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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.