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Finding the Fourth Proportional to 466.26, 695.59 and 401.86

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Solution

The fourth proportional to 466.26, 695.59 and 401.86 is: 599.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.26 : 695.59 = 401.86 : x
  2. Step 2: Convert to fraction form
    466.26/695.59 = 401.86/x
  3. Step 3: Cross multiply
    466.26x = 695.59 × 401.86
  4. Step 4: Simplify right side
    466.26x = 279,529.66
  5. Step 5: Solve for x
    x = 279,529.66/466.26
  6. Step 6: Final answer
    x = 599.52

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Why These Related Problems?

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