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Finding the Fourth Proportional to 458.54, 632.84 and 334.61

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Solution

The fourth proportional to 458.54, 632.84 and 334.61 is: 461.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.54 : 632.84 = 334.61 : x
  2. Step 2: Convert to fraction form
    458.54/632.84 = 334.61/x
  3. Step 3: Cross multiply
    458.54x = 632.84 × 334.61
  4. Step 4: Simplify right side
    458.54x = 211,754.59
  5. Step 5: Solve for x
    x = 211,754.59/458.54
  6. Step 6: Final answer
    x = 461.80

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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.