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Finding the Fourth Proportional to 601.23, 829.67 and 339.24

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Solution

The fourth proportional to 601.23, 829.67 and 339.24 is: 468.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.23 : 829.67 = 339.24 : x
  2. Step 2: Convert to fraction form
    601.23/829.67 = 339.24/x
  3. Step 3: Cross multiply
    601.23x = 829.67 × 339.24
  4. Step 4: Simplify right side
    601.23x = 281,457.25
  5. Step 5: Solve for x
    x = 281,457.25/601.23
  6. Step 6: Final answer
    x = 468.14

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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.