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Finding the Fourth Proportional to 372.06, 557.55 and 209.40

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Solution

The fourth proportional to 372.06, 557.55 and 209.40 is: 313.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.06 : 557.55 = 209.40 : x
  2. Step 2: Convert to fraction form
    372.06/557.55 = 209.40/x
  3. Step 3: Cross multiply
    372.06x = 557.55 × 209.40
  4. Step 4: Simplify right side
    372.06x = 116,748.88
  5. Step 5: Solve for x
    x = 116,748.88/372.06
  6. Step 6: Final answer
    x = 313.79

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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.