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Finding the Fourth Proportional to 484.93, 723.67 and 433.03

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Solution

The fourth proportional to 484.93, 723.67 and 433.03 is: 646.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.93 : 723.67 = 433.03 : x
  2. Step 2: Convert to fraction form
    484.93/723.67 = 433.03/x
  3. Step 3: Cross multiply
    484.93x = 723.67 × 433.03
  4. Step 4: Simplify right side
    484.93x = 313,370.20
  5. Step 5: Solve for x
    x = 313,370.20/484.93
  6. Step 6: Final answer
    x = 646.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.