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Finding the Fourth Proportional to 601.11, 829.08 and 476.55

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Solution

The fourth proportional to 601.11, 829.08 and 476.55 is: 657.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.11 : 829.08 = 476.55 : x
  2. Step 2: Convert to fraction form
    601.11/829.08 = 476.55/x
  3. Step 3: Cross multiply
    601.11x = 829.08 × 476.55
  4. Step 4: Simplify right side
    601.11x = 395,098.07
  5. Step 5: Solve for x
    x = 395,098.07/601.11
  6. Step 6: Final answer
    x = 657.28

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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.