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Finding the Fourth Proportional to 454.58, 626.41 and 297.04

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Solution

The fourth proportional to 454.58, 626.41 and 297.04 is: 409.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.58 : 626.41 = 297.04 : x
  2. Step 2: Convert to fraction form
    454.58/626.41 = 297.04/x
  3. Step 3: Cross multiply
    454.58x = 626.41 × 297.04
  4. Step 4: Simplify right side
    454.58x = 186,068.83
  5. Step 5: Solve for x
    x = 186,068.83/454.58
  6. Step 6: Final answer
    x = 409.32

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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.