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Finding the Fourth Proportional to 601.49, 830.05 and 339.50

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Solution

The fourth proportional to 601.49, 830.05 and 339.50 is: 468.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.49 : 830.05 = 339.50 : x
  2. Step 2: Convert to fraction form
    601.49/830.05 = 339.50/x
  3. Step 3: Cross multiply
    601.49x = 830.05 × 339.50
  4. Step 4: Simplify right side
    601.49x = 281,806.52
  5. Step 5: Solve for x
    x = 281,806.52/601.49
  6. Step 6: Final answer
    x = 468.52

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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.