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Finding the Fourth Proportional to 383.57, 529.15 and 234.13

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Solution

The fourth proportional to 383.57, 529.15 and 234.13 is: 322.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.57 : 529.15 = 234.13 : x
  2. Step 2: Convert to fraction form
    383.57/529.15 = 234.13/x
  3. Step 3: Cross multiply
    383.57x = 529.15 × 234.13
  4. Step 4: Simplify right side
    383.57x = 123,889.89
  5. Step 5: Solve for x
    x = 123,889.89/383.57
  6. Step 6: Final answer
    x = 322.99

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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.