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Finding the Fourth Proportional to 602.30, 902.62 and 293.54

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Solution

The fourth proportional to 602.30, 902.62 and 293.54 is: 439.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.30 : 902.62 = 293.54 : x
  2. Step 2: Convert to fraction form
    602.30/902.62 = 293.54/x
  3. Step 3: Cross multiply
    602.30x = 902.62 × 293.54
  4. Step 4: Simplify right side
    602.30x = 264,955.07
  5. Step 5: Solve for x
    x = 264,955.07/602.30
  6. Step 6: Final answer
    x = 439.91

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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.