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Finding the Fourth Proportional to 563.08, 838.85 and 536.98

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Solution

The fourth proportional to 563.08, 838.85 and 536.98 is: 799.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.08 : 838.85 = 536.98 : x
  2. Step 2: Convert to fraction form
    563.08/838.85 = 536.98/x
  3. Step 3: Cross multiply
    563.08x = 838.85 × 536.98
  4. Step 4: Simplify right side
    563.08x = 450,445.67
  5. Step 5: Solve for x
    x = 450,445.67/563.08
  6. Step 6: Final answer
    x = 799.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.