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Finding the Fourth Proportional to 602.39, 899.85 and 447.48

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Solution

The fourth proportional to 602.39, 899.85 and 447.48 is: 668.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.39 : 899.85 = 447.48 : x
  2. Step 2: Convert to fraction form
    602.39/899.85 = 447.48/x
  3. Step 3: Cross multiply
    602.39x = 899.85 × 447.48
  4. Step 4: Simplify right side
    602.39x = 402,664.88
  5. Step 5: Solve for x
    x = 402,664.88/602.39
  6. Step 6: Final answer
    x = 668.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.