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Finding the Fourth Proportional to 454.62, 626.97 and 297.18

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Solution

The fourth proportional to 454.62, 626.97 and 297.18 is: 409.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.62 : 626.97 = 297.18 : x
  2. Step 2: Convert to fraction form
    454.62/626.97 = 297.18/x
  3. Step 3: Cross multiply
    454.62x = 626.97 × 297.18
  4. Step 4: Simplify right side
    454.62x = 186,322.94
  5. Step 5: Solve for x
    x = 186,322.94/454.62
  6. Step 6: Final answer
    x = 409.84

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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.