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Finding the Fourth Proportional to 454, 626.64 and 298.96

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Solution

The fourth proportional to 454, 626.64 and 298.96 is: 412.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    454 : 626.64 = 298.96 : x
  2. Step 2: Convert to fraction form
    454/626.64 = 298.96/x
  3. Step 3: Cross multiply
    454x = 626.64 × 298.96
  4. Step 4: Simplify right side
    454x = 187,340.29
  5. Step 5: Solve for x
    x = 187,340.29/454
  6. Step 6: Final answer
    x = 412.64

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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.