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Finding the Fourth Proportional to 476.83, 715.16 and 168.65

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Solution

The fourth proportional to 476.83, 715.16 and 168.65 is: 252.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.83 : 715.16 = 168.65 : x
  2. Step 2: Convert to fraction form
    476.83/715.16 = 168.65/x
  3. Step 3: Cross multiply
    476.83x = 715.16 × 168.65
  4. Step 4: Simplify right side
    476.83x = 120,611.65
  5. Step 5: Solve for x
    x = 120,611.65/476.83
  6. Step 6: Final answer
    x = 252.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.