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Finding the Fourth Proportional to 601.34, 829.80 and 339.35

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Solution

The fourth proportional to 601.34, 829.80 and 339.35 is: 468.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.34 : 829.80 = 339.35 : x
  2. Step 2: Convert to fraction form
    601.34/829.80 = 339.35/x
  3. Step 3: Cross multiply
    601.34x = 829.80 × 339.35
  4. Step 4: Simplify right side
    601.34x = 281,592.63
  5. Step 5: Solve for x
    x = 281,592.63/601.34
  6. Step 6: Final answer
    x = 468.28

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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.