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Finding the Fourth Proportional to 603.50, 833.46 and 447.98

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Solution

The fourth proportional to 603.50, 833.46 and 447.98 is: 618.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.50 : 833.46 = 447.98 : x
  2. Step 2: Convert to fraction form
    603.50/833.46 = 447.98/x
  3. Step 3: Cross multiply
    603.50x = 833.46 × 447.98
  4. Step 4: Simplify right side
    603.50x = 373,373.41
  5. Step 5: Solve for x
    x = 373,373.41/603.50
  6. Step 6: Final answer
    x = 618.68

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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.