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Finding the Fourth Proportional to 601.12, 829.62 and 339.13

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Solution

The fourth proportional to 601.12, 829.62 and 339.13 is: 468.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.12 : 829.62 = 339.13 : x
  2. Step 2: Convert to fraction form
    601.12/829.62 = 339.13/x
  3. Step 3: Cross multiply
    601.12x = 829.62 × 339.13
  4. Step 4: Simplify right side
    601.12x = 281,343.19
  5. Step 5: Solve for x
    x = 281,343.19/601.12
  6. Step 6: Final answer
    x = 468.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.