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Finding the Fourth Proportional to 476.98, 715.57 and 168.80

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Solution

The fourth proportional to 476.98, 715.57 and 168.80 is: 253.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.98 : 715.57 = 168.80 : x
  2. Step 2: Convert to fraction form
    476.98/715.57 = 168.80/x
  3. Step 3: Cross multiply
    476.98x = 715.57 × 168.80
  4. Step 4: Simplify right side
    476.98x = 120,787.37
  5. Step 5: Solve for x
    x = 120,787.37/476.98
  6. Step 6: Final answer
    x = 253.23

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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.