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Finding the Fourth Proportional to 945.47, 1,419.01 and 398.05

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Solution

The fourth proportional to 945.47, 1,419.01 and 398.05 is: 597.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.47 : 1,419.01 = 398.05 : x
  2. Step 2: Convert to fraction form
    945.47/1,419.01 = 398.05/x
  3. Step 3: Cross multiply
    945.47x = 1,419.01 × 398.05
  4. Step 4: Simplify right side
    945.47x = 564,832.39
  5. Step 5: Solve for x
    x = 564,832.39/945.47
  6. Step 6: Final answer
    x = 597.41

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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.