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Finding the Fourth Proportional to 454.32, 628.08 and 350

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Solution

The fourth proportional to 454.32, 628.08 and 350 is: 483.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.32 : 628.08 = 350 : x
  2. Step 2: Convert to fraction form
    454.32/628.08 = 350/x
  3. Step 3: Cross multiply
    454.32x = 628.08 × 350
  4. Step 4: Simplify right side
    454.32x = 219,828
  5. Step 5: Solve for x
    x = 219,828/454.32
  6. Step 6: Final answer
    x = 483.86

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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.