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Finding the Fourth Proportional to 602.37, 902.07 and 447.93

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Solution

The fourth proportional to 602.37, 902.07 and 447.93 is: 670.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.37 : 902.07 = 447.93 : x
  2. Step 2: Convert to fraction form
    602.37/902.07 = 447.93/x
  3. Step 3: Cross multiply
    602.37x = 902.07 × 447.93
  4. Step 4: Simplify right side
    602.37x = 404,064.22
  5. Step 5: Solve for x
    x = 404,064.22/602.37
  6. Step 6: Final answer
    x = 670.79

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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.