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Finding the Fourth Proportional to 539.46, 744.57 and 414.99

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Solution

The fourth proportional to 539.46, 744.57 and 414.99 is: 572.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.46 : 744.57 = 414.99 : x
  2. Step 2: Convert to fraction form
    539.46/744.57 = 414.99/x
  3. Step 3: Cross multiply
    539.46x = 744.57 × 414.99
  4. Step 4: Simplify right side
    539.46x = 308,989.10
  5. Step 5: Solve for x
    x = 308,989.10/539.46
  6. Step 6: Final answer
    x = 572.77

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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.