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Finding the Fourth Proportional to 604.16, 833.90 and 394.32

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Solution

The fourth proportional to 604.16, 833.90 and 394.32 is: 544.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.16 : 833.90 = 394.32 : x
  2. Step 2: Convert to fraction form
    604.16/833.90 = 394.32/x
  3. Step 3: Cross multiply
    604.16x = 833.90 × 394.32
  4. Step 4: Simplify right side
    604.16x = 328,823.45
  5. Step 5: Solve for x
    x = 328,823.45/604.16
  6. Step 6: Final answer
    x = 544.27

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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.