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Finding the Fourth Proportional to 453.76, 626.36 and 288.24

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Solution

The fourth proportional to 453.76, 626.36 and 288.24 is: 397.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.76 : 626.36 = 288.24 : x
  2. Step 2: Convert to fraction form
    453.76/626.36 = 288.24/x
  3. Step 3: Cross multiply
    453.76x = 626.36 × 288.24
  4. Step 4: Simplify right side
    453.76x = 180,542.01
  5. Step 5: Solve for x
    x = 180,542.01/453.76
  6. Step 6: Final answer
    x = 397.88

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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.