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Finding the Fourth Proportional to 454.27, 627.11 and 297.13

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Solution

The fourth proportional to 454.27, 627.11 and 297.13 is: 410.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.27 : 627.11 = 297.13 : x
  2. Step 2: Convert to fraction form
    454.27/627.11 = 297.13/x
  3. Step 3: Cross multiply
    454.27x = 627.11 × 297.13
  4. Step 4: Simplify right side
    454.27x = 186,333.19
  5. Step 5: Solve for x
    x = 186,333.19/454.27
  6. Step 6: Final answer
    x = 410.18

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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.