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Finding the Fourth Proportional to 563.10, 843.02 and 419.46

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Solution

The fourth proportional to 563.10, 843.02 and 419.46 is: 627.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.10 : 843.02 = 419.46 : x
  2. Step 2: Convert to fraction form
    563.10/843.02 = 419.46/x
  3. Step 3: Cross multiply
    563.10x = 843.02 × 419.46
  4. Step 4: Simplify right side
    563.10x = 353,613.17
  5. Step 5: Solve for x
    x = 353,613.17/563.10
  6. Step 6: Final answer
    x = 627.98

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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.