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Finding the Fourth Proportional to 454.33, 626.71 and 288.41

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Solution

The fourth proportional to 454.33, 626.71 and 288.41 is: 397.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.33 : 626.71 = 288.41 : x
  2. Step 2: Convert to fraction form
    454.33/626.71 = 288.41/x
  3. Step 3: Cross multiply
    454.33x = 626.71 × 288.41
  4. Step 4: Simplify right side
    454.33x = 180,750.45
  5. Step 5: Solve for x
    x = 180,750.45/454.33
  6. Step 6: Final answer
    x = 397.84

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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.