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Finding the Fourth Proportional to 522.57, 783.77 and 193.47

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Solution

The fourth proportional to 522.57, 783.77 and 193.47 is: 290.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.57 : 783.77 = 193.47 : x
  2. Step 2: Convert to fraction form
    522.57/783.77 = 193.47/x
  3. Step 3: Cross multiply
    522.57x = 783.77 × 193.47
  4. Step 4: Simplify right side
    522.57x = 151,635.01
  5. Step 5: Solve for x
    x = 151,635.01/522.57
  6. Step 6: Final answer
    x = 290.17

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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.