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Finding the Fourth Proportional to 601.82, 830.51 and 336.28

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Solution

The fourth proportional to 601.82, 830.51 and 336.28 is: 464.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.82 : 830.51 = 336.28 : x
  2. Step 2: Convert to fraction form
    601.82/830.51 = 336.28/x
  3. Step 3: Cross multiply
    601.82x = 830.51 × 336.28
  4. Step 4: Simplify right side
    601.82x = 279,280.15
  5. Step 5: Solve for x
    x = 279,280.15/601.82
  6. Step 6: Final answer
    x = 464.06

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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.