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Finding the Fourth Proportional to 442.88, 659.63 and 419.75

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Solution

The fourth proportional to 442.88, 659.63 and 419.75 is: 625.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.88 : 659.63 = 419.75 : x
  2. Step 2: Convert to fraction form
    442.88/659.63 = 419.75/x
  3. Step 3: Cross multiply
    442.88x = 659.63 × 419.75
  4. Step 4: Simplify right side
    442.88x = 276,879.69
  5. Step 5: Solve for x
    x = 276,879.69/442.88
  6. Step 6: Final answer
    x = 625.18

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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.