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Finding the Fourth Proportional to 601.06, 829.74 and 482.83

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Solution

The fourth proportional to 601.06, 829.74 and 482.83 is: 666.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.06 : 829.74 = 482.83 : x
  2. Step 2: Convert to fraction form
    601.06/829.74 = 482.83/x
  3. Step 3: Cross multiply
    601.06x = 829.74 × 482.83
  4. Step 4: Simplify right side
    601.06x = 400,623.36
  5. Step 5: Solve for x
    x = 400,623.36/601.06
  6. Step 6: Final answer
    x = 666.53

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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.