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Finding the Fourth Proportional to 514.42, 771.66 and 189.76

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Solution

The fourth proportional to 514.42, 771.66 and 189.76 is: 284.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.42 : 771.66 = 189.76 : x
  2. Step 2: Convert to fraction form
    514.42/771.66 = 189.76/x
  3. Step 3: Cross multiply
    514.42x = 771.66 × 189.76
  4. Step 4: Simplify right side
    514.42x = 146,430.20
  5. Step 5: Solve for x
    x = 146,430.20/514.42
  6. Step 6: Final answer
    x = 284.65

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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.