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Finding the Fourth Proportional to 454.05, 626.25 and 288.09

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Solution

The fourth proportional to 454.05, 626.25 and 288.09 is: 397.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.05 : 626.25 = 288.09 : x
  2. Step 2: Convert to fraction form
    454.05/626.25 = 288.09/x
  3. Step 3: Cross multiply
    454.05x = 626.25 × 288.09
  4. Step 4: Simplify right side
    454.05x = 180,416.36
  5. Step 5: Solve for x
    x = 180,416.36/454.05
  6. Step 6: Final answer
    x = 397.35

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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.