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Finding the Fourth Proportional to 304.94, 420.62 and 211.69

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Solution

The fourth proportional to 304.94, 420.62 and 211.69 is: 292.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.94 : 420.62 = 211.69 : x
  2. Step 2: Convert to fraction form
    304.94/420.62 = 211.69/x
  3. Step 3: Cross multiply
    304.94x = 420.62 × 211.69
  4. Step 4: Simplify right side
    304.94x = 89,041.05
  5. Step 5: Solve for x
    x = 89,041.05/304.94
  6. Step 6: Final answer
    x = 292.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.