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Finding the Fourth Proportional to 453.80, 626.34 and 288.23

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Solution

The fourth proportional to 453.80, 626.34 and 288.23 is: 397.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.80 : 626.34 = 288.23 : x
  2. Step 2: Convert to fraction form
    453.80/626.34 = 288.23/x
  3. Step 3: Cross multiply
    453.80x = 626.34 × 288.23
  4. Step 4: Simplify right side
    453.80x = 180,526.85
  5. Step 5: Solve for x
    x = 180,526.85/453.80
  6. Step 6: Final answer
    x = 397.82

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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.