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Finding the Fourth Proportional to 514.14, 712.48 and 504.42

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Solution

The fourth proportional to 514.14, 712.48 and 504.42 is: 699.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.14 : 712.48 = 504.42 : x
  2. Step 2: Convert to fraction form
    514.14/712.48 = 504.42/x
  3. Step 3: Cross multiply
    514.14x = 712.48 × 504.42
  4. Step 4: Simplify right side
    514.14x = 359,389.16
  5. Step 5: Solve for x
    x = 359,389.16/514.14
  6. Step 6: Final answer
    x = 699.01

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.