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Finding the Fourth Proportional to 454.23, 626.67 and 297.07

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Solution

The fourth proportional to 454.23, 626.67 and 297.07 is: 409.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.23 : 626.67 = 297.07 : x
  2. Step 2: Convert to fraction form
    454.23/626.67 = 297.07/x
  3. Step 3: Cross multiply
    454.23x = 626.67 × 297.07
  4. Step 4: Simplify right side
    454.23x = 186,163.29
  5. Step 5: Solve for x
    x = 186,163.29/454.23
  6. Step 6: Final answer
    x = 409.84

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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.