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Finding the Fourth Proportional to 524.26, 723.72 and 414.19

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Solution

The fourth proportional to 524.26, 723.72 and 414.19 is: 571.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.26 : 723.72 = 414.19 : x
  2. Step 2: Convert to fraction form
    524.26/723.72 = 414.19/x
  3. Step 3: Cross multiply
    524.26x = 723.72 × 414.19
  4. Step 4: Simplify right side
    524.26x = 299,757.59
  5. Step 5: Solve for x
    x = 299,757.59/524.26
  6. Step 6: Final answer
    x = 571.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.