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Finding the Fourth Proportional to 454.08, 626.34 and 296.70

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Solution

The fourth proportional to 454.08, 626.34 and 296.70 is: 409.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.08 : 626.34 = 296.70 : x
  2. Step 2: Convert to fraction form
    454.08/626.34 = 296.70/x
  3. Step 3: Cross multiply
    454.08x = 626.34 × 296.70
  4. Step 4: Simplify right side
    454.08x = 185,835.08
  5. Step 5: Solve for x
    x = 185,835.08/454.08
  6. Step 6: Final answer
    x = 409.26

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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.