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Finding the Fourth Proportional to 514.16, 770.68 and 270.08

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Solution

The fourth proportional to 514.16, 770.68 and 270.08 is: 404.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.16 : 770.68 = 270.08 : x
  2. Step 2: Convert to fraction form
    514.16/770.68 = 270.08/x
  3. Step 3: Cross multiply
    514.16x = 770.68 × 270.08
  4. Step 4: Simplify right side
    514.16x = 208,145.25
  5. Step 5: Solve for x
    x = 208,145.25/514.16
  6. Step 6: Final answer
    x = 404.83

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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.