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Finding the Fourth Proportional to 373.78, 559.89 and 296.86

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Solution

The fourth proportional to 373.78, 559.89 and 296.86 is: 444.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.78 : 559.89 = 296.86 : x
  2. Step 2: Convert to fraction form
    373.78/559.89 = 296.86/x
  3. Step 3: Cross multiply
    373.78x = 559.89 × 296.86
  4. Step 4: Simplify right side
    373.78x = 166,208.95
  5. Step 5: Solve for x
    x = 166,208.95/373.78
  6. Step 6: Final answer
    x = 444.67

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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.