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Finding the Fourth Proportional to 476.46, 714.78 and 168.24

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Solution

The fourth proportional to 476.46, 714.78 and 168.24 is: 252.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.46 : 714.78 = 168.24 : x
  2. Step 2: Convert to fraction form
    476.46/714.78 = 168.24/x
  3. Step 3: Cross multiply
    476.46x = 714.78 × 168.24
  4. Step 4: Simplify right side
    476.46x = 120,254.59
  5. Step 5: Solve for x
    x = 120,254.59/476.46
  6. Step 6: Final answer
    x = 252.39

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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.