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Finding the Fourth Proportional to 945.10, 1,416.36 and 396.64

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Solution

The fourth proportional to 945.10, 1,416.36 and 396.64 is: 594.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.10 : 1,416.36 = 396.64 : x
  2. Step 2: Convert to fraction form
    945.10/1,416.36 = 396.64/x
  3. Step 3: Cross multiply
    945.10x = 1,416.36 × 396.64
  4. Step 4: Simplify right side
    945.10x = 561,785.03
  5. Step 5: Solve for x
    x = 561,785.03/945.10
  6. Step 6: Final answer
    x = 594.42

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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.