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Finding the Fourth Proportional to 517.94, 777.51 and 301.67

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Solution

The fourth proportional to 517.94, 777.51 and 301.67 is: 452.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.94 : 777.51 = 301.67 : x
  2. Step 2: Convert to fraction form
    517.94/777.51 = 301.67/x
  3. Step 3: Cross multiply
    517.94x = 777.51 × 301.67
  4. Step 4: Simplify right side
    517.94x = 234,547.55
  5. Step 5: Solve for x
    x = 234,547.55/517.94
  6. Step 6: Final answer
    x = 452.85

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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.