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Finding the Fourth Proportional to 522.92, 783.75 and 233.75

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Solution

The fourth proportional to 522.92, 783.75 and 233.75 is: 350.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.92 : 783.75 = 233.75 : x
  2. Step 2: Convert to fraction form
    522.92/783.75 = 233.75/x
  3. Step 3: Cross multiply
    522.92x = 783.75 × 233.75
  4. Step 4: Simplify right side
    522.92x = 183,201.56
  5. Step 5: Solve for x
    x = 183,201.56/522.92
  6. Step 6: Final answer
    x = 350.34

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Why These Related Problems?

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