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Finding the Fourth Proportional to 601.39, 902.92 and 341.89

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Solution

The fourth proportional to 601.39, 902.92 and 341.89 is: 513.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.39 : 902.92 = 341.89 : x
  2. Step 2: Convert to fraction form
    601.39/902.92 = 341.89/x
  3. Step 3: Cross multiply
    601.39x = 902.92 × 341.89
  4. Step 4: Simplify right side
    601.39x = 308,699.32
  5. Step 5: Solve for x
    x = 308,699.32/601.39
  6. Step 6: Final answer
    x = 513.31

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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.