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Finding the Fourth Proportional to 522.85, 783.11 and 441.38

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Solution

The fourth proportional to 522.85, 783.11 and 441.38 is: 661.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.85 : 783.11 = 441.38 : x
  2. Step 2: Convert to fraction form
    522.85/783.11 = 441.38/x
  3. Step 3: Cross multiply
    522.85x = 783.11 × 441.38
  4. Step 4: Simplify right side
    522.85x = 345,645.18
  5. Step 5: Solve for x
    x = 345,645.18/522.85
  6. Step 6: Final answer
    x = 661.08

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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.