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Finding the Fourth Proportional to 601.61, 830.21 and 339.63

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Solution

The fourth proportional to 601.61, 830.21 and 339.63 is: 468.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.61 : 830.21 = 339.63 : x
  2. Step 2: Convert to fraction form
    601.61/830.21 = 339.63/x
  3. Step 3: Cross multiply
    601.61x = 830.21 × 339.63
  4. Step 4: Simplify right side
    601.61x = 281,959.41
  5. Step 5: Solve for x
    x = 281,959.41/601.61
  6. Step 6: Final answer
    x = 468.68

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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.