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Finding the Fourth Proportional to 476.26, 714.36 and 129.65

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Solution

The fourth proportional to 476.26, 714.36 and 129.65 is: 194.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.26 : 714.36 = 129.65 : x
  2. Step 2: Convert to fraction form
    476.26/714.36 = 129.65/x
  3. Step 3: Cross multiply
    476.26x = 714.36 × 129.65
  4. Step 4: Simplify right side
    476.26x = 92,613.69
  5. Step 5: Solve for x
    x = 92,613.69/476.26
  6. Step 6: Final answer
    x = 194.46

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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.