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Finding the Fourth Proportional to 454.61, 626.96 and 297.11

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Solution

The fourth proportional to 454.61, 626.96 and 297.11 is: 409.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.61 : 626.96 = 297.11 : x
  2. Step 2: Convert to fraction form
    454.61/626.96 = 297.11/x
  3. Step 3: Cross multiply
    454.61x = 626.96 × 297.11
  4. Step 4: Simplify right side
    454.61x = 186,274.60
  5. Step 5: Solve for x
    x = 186,274.60/454.61
  6. Step 6: Final answer
    x = 409.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.