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Finding the Fourth Proportional to 467.94, 698.28 and 419.34

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Solution

The fourth proportional to 467.94, 698.28 and 419.34 is: 625.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.94 : 698.28 = 419.34 : x
  2. Step 2: Convert to fraction form
    467.94/698.28 = 419.34/x
  3. Step 3: Cross multiply
    467.94x = 698.28 × 419.34
  4. Step 4: Simplify right side
    467.94x = 292,816.74
  5. Step 5: Solve for x
    x = 292,816.74/467.94
  6. Step 6: Final answer
    x = 625.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.