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Finding the Fourth Proportional to 522.97, 783.39 and 248.23

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Solution

The fourth proportional to 522.97, 783.39 and 248.23 is: 371.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.97 : 783.39 = 248.23 : x
  2. Step 2: Convert to fraction form
    522.97/783.39 = 248.23/x
  3. Step 3: Cross multiply
    522.97x = 783.39 × 248.23
  4. Step 4: Simplify right side
    522.97x = 194,461.41
  5. Step 5: Solve for x
    x = 194,461.41/522.97
  6. Step 6: Final answer
    x = 371.84

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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.