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Finding the Fourth Proportional to 602.06, 902.88 and 211.95

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Solution

The fourth proportional to 602.06, 902.88 and 211.95 is: 317.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.06 : 902.88 = 211.95 : x
  2. Step 2: Convert to fraction form
    602.06/902.88 = 211.95/x
  3. Step 3: Cross multiply
    602.06x = 902.88 × 211.95
  4. Step 4: Simplify right side
    602.06x = 191,365.42
  5. Step 5: Solve for x
    x = 191,365.42/602.06
  6. Step 6: Final answer
    x = 317.85

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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.