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Finding the Fourth Proportional to 517.50, 776.66 and 301.23

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Solution

The fourth proportional to 517.50, 776.66 and 301.23 is: 452.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.50 : 776.66 = 301.23 : x
  2. Step 2: Convert to fraction form
    517.50/776.66 = 301.23/x
  3. Step 3: Cross multiply
    517.50x = 776.66 × 301.23
  4. Step 4: Simplify right side
    517.50x = 233,951.79
  5. Step 5: Solve for x
    x = 233,951.79/517.50
  6. Step 6: Final answer
    x = 452.08

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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.