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Finding the Fourth Proportional to 476.19, 714.20 and 129.55

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Solution

The fourth proportional to 476.19, 714.20 and 129.55 is: 194.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.19 : 714.20 = 129.55 : x
  2. Step 2: Convert to fraction form
    476.19/714.20 = 129.55/x
  3. Step 3: Cross multiply
    476.19x = 714.20 × 129.55
  4. Step 4: Simplify right side
    476.19x = 92,526.62
  5. Step 5: Solve for x
    x = 92,526.62/476.19
  6. Step 6: Final answer
    x = 194.31

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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.