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Finding the Fourth Proportional to 317.00, 436.94 and 212.05

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Solution

The fourth proportional to 317.00, 436.94 and 212.05 is: 292.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.00 : 436.94 = 212.05 : x
  2. Step 2: Convert to fraction form
    317.00/436.94 = 212.05/x
  3. Step 3: Cross multiply
    317.00x = 436.94 × 212.05
  4. Step 4: Simplify right side
    317.00x = 92,652.19
  5. Step 5: Solve for x
    x = 92,652.19/317.00
  6. Step 6: Final answer
    x = 292.28

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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.