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Finding the Fourth Proportional to 601.63, 902.54 and 293.29

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Solution

The fourth proportional to 601.63, 902.54 and 293.29 is: 439.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.63 : 902.54 = 293.29 : x
  2. Step 2: Convert to fraction form
    601.63/902.54 = 293.29/x
  3. Step 3: Cross multiply
    601.63x = 902.54 × 293.29
  4. Step 4: Simplify right side
    601.63x = 264,704.43
  5. Step 5: Solve for x
    x = 264,704.43/601.63
  6. Step 6: Final answer
    x = 439.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.