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Finding the Fourth Proportional to 524.74, 722.49 and 445.90

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Solution

The fourth proportional to 524.74, 722.49 and 445.90 is: 613.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.74 : 722.49 = 445.90 : x
  2. Step 2: Convert to fraction form
    524.74/722.49 = 445.90/x
  3. Step 3: Cross multiply
    524.74x = 722.49 × 445.90
  4. Step 4: Simplify right side
    524.74x = 322,158.29
  5. Step 5: Solve for x
    x = 322,158.29/524.74
  6. Step 6: Final answer
    x = 613.94

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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.