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Finding the Fourth Proportional to 601.56, 830.20 and 339.56

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Solution

The fourth proportional to 601.56, 830.20 and 339.56 is: 468.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.56 : 830.20 = 339.56 : x
  2. Step 2: Convert to fraction form
    601.56/830.20 = 339.56/x
  3. Step 3: Cross multiply
    601.56x = 830.20 × 339.56
  4. Step 4: Simplify right side
    601.56x = 281,902.71
  5. Step 5: Solve for x
    x = 281,902.71/601.56
  6. Step 6: Final answer
    x = 468.62

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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.