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Finding the Fourth Proportional to 945.88, 1,419.42 and 398.08

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Solution

The fourth proportional to 945.88, 1,419.42 and 398.08 is: 597.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.88 : 1,419.42 = 398.08 : x
  2. Step 2: Convert to fraction form
    945.88/1,419.42 = 398.08/x
  3. Step 3: Cross multiply
    945.88x = 1,419.42 × 398.08
  4. Step 4: Simplify right side
    945.88x = 565,042.71
  5. Step 5: Solve for x
    x = 565,042.71/945.88
  6. Step 6: Final answer
    x = 597.37

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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.