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Finding the Fourth Proportional to 945.02, 1,416.62 and 397.68

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Solution

The fourth proportional to 945.02, 1,416.62 and 397.68 is: 596.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.02 : 1,416.62 = 397.68 : x
  2. Step 2: Convert to fraction form
    945.02/1,416.62 = 397.68/x
  3. Step 3: Cross multiply
    945.02x = 1,416.62 × 397.68
  4. Step 4: Simplify right side
    945.02x = 563,361.44
  5. Step 5: Solve for x
    x = 563,361.44/945.02
  6. Step 6: Final answer
    x = 596.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.