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Finding the Fourth Proportional to 573.74, 791.01 and 468.72

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Solution

The fourth proportional to 573.74, 791.01 and 468.72 is: 646.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.74 : 791.01 = 468.72 : x
  2. Step 2: Convert to fraction form
    573.74/791.01 = 468.72/x
  3. Step 3: Cross multiply
    573.74x = 791.01 × 468.72
  4. Step 4: Simplify right side
    573.74x = 370,762.21
  5. Step 5: Solve for x
    x = 370,762.21/573.74
  6. Step 6: Final answer
    x = 646.23

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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.