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Finding the Fourth Proportional to 524.22, 722.16 and 441.78

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Solution

The fourth proportional to 524.22, 722.16 and 441.78 is: 608.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.22 : 722.16 = 441.78 : x
  2. Step 2: Convert to fraction form
    524.22/722.16 = 441.78/x
  3. Step 3: Cross multiply
    524.22x = 722.16 × 441.78
  4. Step 4: Simplify right side
    524.22x = 319,035.84
  5. Step 5: Solve for x
    x = 319,035.84/524.22
  6. Step 6: Final answer
    x = 608.59

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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.