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Finding the Fourth Proportional to 601.97, 830.70 and 336.40

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Solution

The fourth proportional to 601.97, 830.70 and 336.40 is: 464.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.97 : 830.70 = 336.40 : x
  2. Step 2: Convert to fraction form
    601.97/830.70 = 336.40/x
  3. Step 3: Cross multiply
    601.97x = 830.70 × 336.40
  4. Step 4: Simplify right side
    601.97x = 279,445.40
  5. Step 5: Solve for x
    x = 279,445.40/601.97
  6. Step 6: Final answer
    x = 464.22

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