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Finding the Fourth Proportional to 601.59, 830.11 and 336

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Solution

The fourth proportional to 601.59, 830.11 and 336 is: 463.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.59 : 830.11 = 336 : x
  2. Step 2: Convert to fraction form
    601.59/830.11 = 336/x
  3. Step 3: Cross multiply
    601.59x = 830.11 × 336
  4. Step 4: Simplify right side
    601.59x = 278,916.96
  5. Step 5: Solve for x
    x = 278,916.96/601.59
  6. Step 6: Final answer
    x = 463.63

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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.