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Finding the Fourth Proportional to 524.83, 722.66 and 414.26

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Solution

The fourth proportional to 524.83, 722.66 and 414.26 is: 570.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.83 : 722.66 = 414.26 : x
  2. Step 2: Convert to fraction form
    524.83/722.66 = 414.26/x
  3. Step 3: Cross multiply
    524.83x = 722.66 × 414.26
  4. Step 4: Simplify right side
    524.83x = 299,371.97
  5. Step 5: Solve for x
    x = 299,371.97/524.83
  6. Step 6: Final answer
    x = 570.42

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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.