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Finding the Fourth Proportional to 620.90, 929.64 and 563.30

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Solution

The fourth proportional to 620.90, 929.64 and 563.30 is: 843.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.90 : 929.64 = 563.30 : x
  2. Step 2: Convert to fraction form
    620.90/929.64 = 563.30/x
  3. Step 3: Cross multiply
    620.90x = 929.64 × 563.30
  4. Step 4: Simplify right side
    620.90x = 523,666.21
  5. Step 5: Solve for x
    x = 523,666.21/620.90
  6. Step 6: Final answer
    x = 843.40

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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.