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Finding the Fourth Proportional to 514.48, 770.70 and 400.24

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Solution

The fourth proportional to 514.48, 770.70 and 400.24 is: 599.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.48 : 770.70 = 400.24 : x
  2. Step 2: Convert to fraction form
    514.48/770.70 = 400.24/x
  3. Step 3: Cross multiply
    514.48x = 770.70 × 400.24
  4. Step 4: Simplify right side
    514.48x = 308,464.97
  5. Step 5: Solve for x
    x = 308,464.97/514.48
  6. Step 6: Final answer
    x = 599.57

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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.