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Finding the Fourth Proportional to 514.50, 771.88 and 297.68

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Solution

The fourth proportional to 514.50, 771.88 and 297.68 is: 446.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.50 : 771.88 = 297.68 : x
  2. Step 2: Convert to fraction form
    514.50/771.88 = 297.68/x
  3. Step 3: Cross multiply
    514.50x = 771.88 × 297.68
  4. Step 4: Simplify right side
    514.50x = 229,773.24
  5. Step 5: Solve for x
    x = 229,773.24/514.50
  6. Step 6: Final answer
    x = 446.60

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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.