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Finding the Fourth Proportional to 605.74, 909.14 and 374.84

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Solution

The fourth proportional to 605.74, 909.14 and 374.84 is: 562.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.74 : 909.14 = 374.84 : x
  2. Step 2: Convert to fraction form
    605.74/909.14 = 374.84/x
  3. Step 3: Cross multiply
    605.74x = 909.14 × 374.84
  4. Step 4: Simplify right side
    605.74x = 340,775.62
  5. Step 5: Solve for x
    x = 340,775.62/605.74
  6. Step 6: Final answer
    x = 562.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.