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Finding the Fourth Proportional to 372.69, 514.32 and 206.91

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Solution

The fourth proportional to 372.69, 514.32 and 206.91 is: 285.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.69 : 514.32 = 206.91 : x
  2. Step 2: Convert to fraction form
    372.69/514.32 = 206.91/x
  3. Step 3: Cross multiply
    372.69x = 514.32 × 206.91
  4. Step 4: Simplify right side
    372.69x = 106,417.95
  5. Step 5: Solve for x
    x = 106,417.95/372.69
  6. Step 6: Final answer
    x = 285.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.