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Finding the Fourth Proportional to 602.44, 904.26 and 396.19

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Solution

The fourth proportional to 602.44, 904.26 and 396.19 is: 594.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.44 : 904.26 = 396.19 : x
  2. Step 2: Convert to fraction form
    602.44/904.26 = 396.19/x
  3. Step 3: Cross multiply
    602.44x = 904.26 × 396.19
  4. Step 4: Simplify right side
    602.44x = 358,261.39
  5. Step 5: Solve for x
    x = 358,261.39/602.44
  6. Step 6: Final answer
    x = 594.69

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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.