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Finding the Fourth Proportional to 602.63, 902.48 and 293.72

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Solution

The fourth proportional to 602.63, 902.48 and 293.72 is: 439.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.63 : 902.48 = 293.72 : x
  2. Step 2: Convert to fraction form
    602.63/902.48 = 293.72/x
  3. Step 3: Cross multiply
    602.63x = 902.48 × 293.72
  4. Step 4: Simplify right side
    602.63x = 265,072.65
  5. Step 5: Solve for x
    x = 265,072.65/602.63
  6. Step 6: Final answer
    x = 439.86

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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.