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Finding the Fourth Proportional to 602.02, 902.40 and 293.41

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Solution

The fourth proportional to 602.02, 902.40 and 293.41 is: 439.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.02 : 902.40 = 293.41 : x
  2. Step 2: Convert to fraction form
    602.02/902.40 = 293.41/x
  3. Step 3: Cross multiply
    602.02x = 902.40 × 293.41
  4. Step 4: Simplify right side
    602.02x = 264,773.18
  5. Step 5: Solve for x
    x = 264,773.18/602.02
  6. Step 6: Final answer
    x = 439.81

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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.