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Finding the Fourth Proportional to 398.26, 594.47 and 352.18

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Solution

The fourth proportional to 398.26, 594.47 and 352.18 is: 525.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.26 : 594.47 = 352.18 : x
  2. Step 2: Convert to fraction form
    398.26/594.47 = 352.18/x
  3. Step 3: Cross multiply
    398.26x = 594.47 × 352.18
  4. Step 4: Simplify right side
    398.26x = 209,360.44
  5. Step 5: Solve for x
    x = 209,360.44/398.26
  6. Step 6: Final answer
    x = 525.69

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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.