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Finding the Fourth Proportional to 563.72, 845.26 and 275.15

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Solution

The fourth proportional to 563.72, 845.26 and 275.15 is: 412.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.72 : 845.26 = 275.15 : x
  2. Step 2: Convert to fraction form
    563.72/845.26 = 275.15/x
  3. Step 3: Cross multiply
    563.72x = 845.26 × 275.15
  4. Step 4: Simplify right side
    563.72x = 232,574.71
  5. Step 5: Solve for x
    x = 232,574.71/563.72
  6. Step 6: Final answer
    x = 412.57

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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.