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Finding the Fourth Proportional to 601.14, 829.83 and 468.72

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Solution

The fourth proportional to 601.14, 829.83 and 468.72 is: 647.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.14 : 829.83 = 468.72 : x
  2. Step 2: Convert to fraction form
    601.14/829.83 = 468.72/x
  3. Step 3: Cross multiply
    601.14x = 829.83 × 468.72
  4. Step 4: Simplify right side
    601.14x = 388,957.92
  5. Step 5: Solve for x
    x = 388,957.92/601.14
  6. Step 6: Final answer
    x = 647.03

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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.