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Finding the Fourth Proportional to 373.77, 559.94 and 211.77

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Solution

The fourth proportional to 373.77, 559.94 and 211.77 is: 317.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.77 : 559.94 = 211.77 : x
  2. Step 2: Convert to fraction form
    373.77/559.94 = 211.77/x
  3. Step 3: Cross multiply
    373.77x = 559.94 × 211.77
  4. Step 4: Simplify right side
    373.77x = 118,577.43
  5. Step 5: Solve for x
    x = 118,577.43/373.77
  6. Step 6: Final answer
    x = 317.25

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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.