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Finding the Fourth Proportional to 602.01, 902.37 and 294.07

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Solution

The fourth proportional to 602.01, 902.37 and 294.07 is: 440.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.01 : 902.37 = 294.07 : x
  2. Step 2: Convert to fraction form
    602.01/902.37 = 294.07/x
  3. Step 3: Cross multiply
    602.01x = 902.37 × 294.07
  4. Step 4: Simplify right side
    602.01x = 265,359.95
  5. Step 5: Solve for x
    x = 265,359.95/602.01
  6. Step 6: Final answer
    x = 440.79

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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.