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Finding the Fourth Proportional to 602.46, 903.27 and 212.37

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Solution

The fourth proportional to 602.46, 903.27 and 212.37 is: 318.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.46 : 903.27 = 212.37 : x
  2. Step 2: Convert to fraction form
    602.46/903.27 = 212.37/x
  3. Step 3: Cross multiply
    602.46x = 903.27 × 212.37
  4. Step 4: Simplify right side
    602.46x = 191,827.45
  5. Step 5: Solve for x
    x = 191,827.45/602.46
  6. Step 6: Final answer
    x = 318.41

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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.