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Finding the Fourth Proportional to 601.88, 830.60 and 336.35

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Solution

The fourth proportional to 601.88, 830.60 and 336.35 is: 464.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.88 : 830.60 = 336.35 : x
  2. Step 2: Convert to fraction form
    601.88/830.60 = 336.35/x
  3. Step 3: Cross multiply
    601.88x = 830.60 × 336.35
  4. Step 4: Simplify right side
    601.88x = 279,375.86
  5. Step 5: Solve for x
    x = 279,375.86/601.88
  6. Step 6: Final answer
    x = 464.17

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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.