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Finding the Fourth Proportional to 557.15, 769.23 and 522.30

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Solution

The fourth proportional to 557.15, 769.23 and 522.30 is: 721.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.15 : 769.23 = 522.30 : x
  2. Step 2: Convert to fraction form
    557.15/769.23 = 522.30/x
  3. Step 3: Cross multiply
    557.15x = 769.23 × 522.30
  4. Step 4: Simplify right side
    557.15x = 401,767.39
  5. Step 5: Solve for x
    x = 401,767.39/557.15
  6. Step 6: Final answer
    x = 721.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.