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Finding the Fourth Proportional to 522.22, 783.51 and 233.77

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Solution

The fourth proportional to 522.22, 783.51 and 233.77 is: 350.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.22 : 783.51 = 233.77 : x
  2. Step 2: Convert to fraction form
    522.22/783.51 = 233.77/x
  3. Step 3: Cross multiply
    522.22x = 783.51 × 233.77
  4. Step 4: Simplify right side
    522.22x = 183,156.05
  5. Step 5: Solve for x
    x = 183,156.05/522.22
  6. Step 6: Final answer
    x = 350.73

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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.