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Finding the Fourth Proportional to 505.08, 695.50 and 448.27

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Solution

The fourth proportional to 505.08, 695.50 and 448.27 is: 617.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.08 : 695.50 = 448.27 : x
  2. Step 2: Convert to fraction form
    505.08/695.50 = 448.27/x
  3. Step 3: Cross multiply
    505.08x = 695.50 × 448.27
  4. Step 4: Simplify right side
    505.08x = 311,768.93
  5. Step 5: Solve for x
    x = 311,768.93/505.08
  6. Step 6: Final answer
    x = 617.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.