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Finding the Fourth Proportional to 612.88, 845.78 and 347.33

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Solution

The fourth proportional to 612.88, 845.78 and 347.33 is: 479.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.88 : 845.78 = 347.33 : x
  2. Step 2: Convert to fraction form
    612.88/845.78 = 347.33/x
  3. Step 3: Cross multiply
    612.88x = 845.78 × 347.33
  4. Step 4: Simplify right side
    612.88x = 293,764.77
  5. Step 5: Solve for x
    x = 293,764.77/612.88
  6. Step 6: Final answer
    x = 479.32

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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.