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Finding the Fourth Proportional to 368.20, 522.52 and 368.20

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Solution

The fourth proportional to 368.20, 522.52 and 368.20 is: 522.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.20 : 522.52 = 368.20 : x
  2. Step 2: Convert to fraction form
    368.20/522.52 = 368.20/x
  3. Step 3: Cross multiply
    368.20x = 522.52 × 368.20
  4. Step 4: Simplify right side
    368.20x = 192,391.86
  5. Step 5: Solve for x
    x = 192,391.86/368.20
  6. Step 6: Final answer
    x = 522.52

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.