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Finding the Fourth Proportional to 514.35, 771.12 and 465.75

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Solution

The fourth proportional to 514.35, 771.12 and 465.75 is: 698.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.35 : 771.12 = 465.75 : x
  2. Step 2: Convert to fraction form
    514.35/771.12 = 465.75/x
  3. Step 3: Cross multiply
    514.35x = 771.12 × 465.75
  4. Step 4: Simplify right side
    514.35x = 359,149.14
  5. Step 5: Solve for x
    x = 359,149.14/514.35
  6. Step 6: Final answer
    x = 698.26

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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.