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Finding the Fourth Proportional to 433.22, 598.53 and 302.81

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Solution

The fourth proportional to 433.22, 598.53 and 302.81 is: 418.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.22 : 598.53 = 302.81 : x
  2. Step 2: Convert to fraction form
    433.22/598.53 = 302.81/x
  3. Step 3: Cross multiply
    433.22x = 598.53 × 302.81
  4. Step 4: Simplify right side
    433.22x = 181,237.88
  5. Step 5: Solve for x
    x = 181,237.88/433.22
  6. Step 6: Final answer
    x = 418.36

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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.