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Finding the Fourth Proportional to 370.78, 555.63 and 208.24

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Solution

The fourth proportional to 370.78, 555.63 and 208.24 is: 312.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.78 : 555.63 = 208.24 : x
  2. Step 2: Convert to fraction form
    370.78/555.63 = 208.24/x
  3. Step 3: Cross multiply
    370.78x = 555.63 × 208.24
  4. Step 4: Simplify right side
    370.78x = 115,704.39
  5. Step 5: Solve for x
    x = 115,704.39/370.78
  6. Step 6: Final answer
    x = 312.06

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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.