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Finding the Fourth Proportional to 602.19, 902.82 and 293.80

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Solution

The fourth proportional to 602.19, 902.82 and 293.80 is: 440.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.19 : 902.82 = 293.80 : x
  2. Step 2: Convert to fraction form
    602.19/902.82 = 293.80/x
  3. Step 3: Cross multiply
    602.19x = 902.82 × 293.80
  4. Step 4: Simplify right side
    602.19x = 265,248.52
  5. Step 5: Solve for x
    x = 265,248.52/602.19
  6. Step 6: Final answer
    x = 440.47

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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.