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Finding the Fourth Proportional to 514.25, 770.98 and 240.31

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Solution

The fourth proportional to 514.25, 770.98 and 240.31 is: 360.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.25 : 770.98 = 240.31 : x
  2. Step 2: Convert to fraction form
    514.25/770.98 = 240.31/x
  3. Step 3: Cross multiply
    514.25x = 770.98 × 240.31
  4. Step 4: Simplify right side
    514.25x = 185,274.20
  5. Step 5: Solve for x
    x = 185,274.20/514.25
  6. Step 6: Final answer
    x = 360.28

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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.