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Finding the Fourth Proportional to 453.87, 625.86 and 416.88

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Solution

The fourth proportional to 453.87, 625.86 and 416.88 is: 574.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.87 : 625.86 = 416.88 : x
  2. Step 2: Convert to fraction form
    453.87/625.86 = 416.88/x
  3. Step 3: Cross multiply
    453.87x = 625.86 × 416.88
  4. Step 4: Simplify right side
    453.87x = 260,908.52
  5. Step 5: Solve for x
    x = 260,908.52/453.87
  6. Step 6: Final answer
    x = 574.85

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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.