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Finding the Fourth Proportional to 522.09, 783.72 and 262.35

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Solution

The fourth proportional to 522.09, 783.72 and 262.35 is: 393.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.09 : 783.72 = 262.35 : x
  2. Step 2: Convert to fraction form
    522.09/783.72 = 262.35/x
  3. Step 3: Cross multiply
    522.09x = 783.72 × 262.35
  4. Step 4: Simplify right side
    522.09x = 205,608.94
  5. Step 5: Solve for x
    x = 205,608.94/522.09
  6. Step 6: Final answer
    x = 393.82

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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.