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Finding the Fourth Proportional to 601.79, 830.33 and 336.15

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Solution

The fourth proportional to 601.79, 830.33 and 336.15 is: 463.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.79 : 830.33 = 336.15 : x
  2. Step 2: Convert to fraction form
    601.79/830.33 = 336.15/x
  3. Step 3: Cross multiply
    601.79x = 830.33 × 336.15
  4. Step 4: Simplify right side
    601.79x = 279,113.75
  5. Step 5: Solve for x
    x = 279,113.75/601.79
  6. Step 6: Final answer
    x = 463.81

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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.