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Finding the Fourth Proportional to 524.34, 722.03 and 445.77

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Solution

The fourth proportional to 524.34, 722.03 and 445.77 is: 613.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.34 : 722.03 = 445.77 : x
  2. Step 2: Convert to fraction form
    524.34/722.03 = 445.77/x
  3. Step 3: Cross multiply
    524.34x = 722.03 × 445.77
  4. Step 4: Simplify right side
    524.34x = 321,857.08
  5. Step 5: Solve for x
    x = 321,857.08/524.34
  6. Step 6: Final answer
    x = 613.83

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