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Finding the Fourth Proportional to 459.93, 634.77 and 294.33

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Solution

The fourth proportional to 459.93, 634.77 and 294.33 is: 406.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.93 : 634.77 = 294.33 : x
  2. Step 2: Convert to fraction form
    459.93/634.77 = 294.33/x
  3. Step 3: Cross multiply
    459.93x = 634.77 × 294.33
  4. Step 4: Simplify right side
    459.93x = 186,831.85
  5. Step 5: Solve for x
    x = 186,831.85/459.93
  6. Step 6: Final answer
    x = 406.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.