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Finding the Fourth Proportional to 600.58, 828.86 and 335.04

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Solution

The fourth proportional to 600.58, 828.86 and 335.04 is: 462.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.58 : 828.86 = 335.04 : x
  2. Step 2: Convert to fraction form
    600.58/828.86 = 335.04/x
  3. Step 3: Cross multiply
    600.58x = 828.86 × 335.04
  4. Step 4: Simplify right side
    600.58x = 277,701.25
  5. Step 5: Solve for x
    x = 277,701.25/600.58
  6. Step 6: Final answer
    x = 462.39

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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.