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Finding the Fourth Proportional to 522.86, 784.29 and 233.96

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Solution

The fourth proportional to 522.86, 784.29 and 233.96 is: 350.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.86 : 784.29 = 233.96 : x
  2. Step 2: Convert to fraction form
    522.86/784.29 = 233.96/x
  3. Step 3: Cross multiply
    522.86x = 784.29 × 233.96
  4. Step 4: Simplify right side
    522.86x = 183,491.51
  5. Step 5: Solve for x
    x = 183,491.51/522.86
  6. Step 6: Final answer
    x = 350.94

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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.