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Finding the Fourth Proportional to 601.29, 829.93 and 402.12

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Solution

The fourth proportional to 601.29, 829.93 and 402.12 is: 555.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.29 : 829.93 = 402.12 : x
  2. Step 2: Convert to fraction form
    601.29/829.93 = 402.12/x
  3. Step 3: Cross multiply
    601.29x = 829.93 × 402.12
  4. Step 4: Simplify right side
    601.29x = 333,731.45
  5. Step 5: Solve for x
    x = 333,731.45/601.29
  6. Step 6: Final answer
    x = 555.03

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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.