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Finding the Fourth Proportional to 372.76, 558.59 and 208.00

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Solution

The fourth proportional to 372.76, 558.59 and 208.00 is: 311.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.76 : 558.59 = 208.00 : x
  2. Step 2: Convert to fraction form
    372.76/558.59 = 208.00/x
  3. Step 3: Cross multiply
    372.76x = 558.59 × 208.00
  4. Step 4: Simplify right side
    372.76x = 116,186.38
  5. Step 5: Solve for x
    x = 116,186.38/372.76
  6. Step 6: Final answer
    x = 311.69

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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.