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Finding the Fourth Proportional to 476.85, 715.27 and 168.71

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Solution

The fourth proportional to 476.85, 715.27 and 168.71 is: 253.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.85 : 715.27 = 168.71 : x
  2. Step 2: Convert to fraction form
    476.85/715.27 = 168.71/x
  3. Step 3: Cross multiply
    476.85x = 715.27 × 168.71
  4. Step 4: Simplify right side
    476.85x = 120,671.29
  5. Step 5: Solve for x
    x = 120,671.29/476.85
  6. Step 6: Final answer
    x = 253.06

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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.