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Finding the Fourth Proportional to 466.22, 695.87 and 411.54

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Solution

The fourth proportional to 466.22, 695.87 and 411.54 is: 614.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.22 : 695.87 = 411.54 : x
  2. Step 2: Convert to fraction form
    466.22/695.87 = 411.54/x
  3. Step 3: Cross multiply
    466.22x = 695.87 × 411.54
  4. Step 4: Simplify right side
    466.22x = 286,376.28
  5. Step 5: Solve for x
    x = 286,376.28/466.22
  6. Step 6: Final answer
    x = 614.26

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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.