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Finding the Fourth Proportional to 524.77, 722.54 and 445.93

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Solution

The fourth proportional to 524.77, 722.54 and 445.93 is: 613.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.77 : 722.54 = 445.93 : x
  2. Step 2: Convert to fraction form
    524.77/722.54 = 445.93/x
  3. Step 3: Cross multiply
    524.77x = 722.54 × 445.93
  4. Step 4: Simplify right side
    524.77x = 322,202.26
  5. Step 5: Solve for x
    x = 322,202.26/524.77
  6. Step 6: Final answer
    x = 613.99

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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.