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Finding the Fourth Proportional to 434.21, 599.19 and 237.68

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Solution

The fourth proportional to 434.21, 599.19 and 237.68 is: 327.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.21 : 599.19 = 237.68 : x
  2. Step 2: Convert to fraction form
    434.21/599.19 = 237.68/x
  3. Step 3: Cross multiply
    434.21x = 599.19 × 237.68
  4. Step 4: Simplify right side
    434.21x = 142,415.79
  5. Step 5: Solve for x
    x = 142,415.79/434.21
  6. Step 6: Final answer
    x = 327.99

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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.