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Finding the Fourth Proportional to 447.90, 670.95 and 285

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Solution

The fourth proportional to 447.90, 670.95 and 285 is: 426.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.90 : 670.95 = 285 : x
  2. Step 2: Convert to fraction form
    447.90/670.95 = 285/x
  3. Step 3: Cross multiply
    447.90x = 670.95 × 285
  4. Step 4: Simplify right side
    447.90x = 191,220.75
  5. Step 5: Solve for x
    x = 191,220.75/447.90
  6. Step 6: Final answer
    x = 426.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.