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Finding the Fourth Proportional to 741.42, 1,023.30 and 430.92

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Solution

The fourth proportional to 741.42, 1,023.30 and 430.92 is: 594.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.42 : 1,023.30 = 430.92 : x
  2. Step 2: Convert to fraction form
    741.42/1,023.30 = 430.92/x
  3. Step 3: Cross multiply
    741.42x = 1,023.30 × 430.92
  4. Step 4: Simplify right side
    741.42x = 440,960.44
  5. Step 5: Solve for x
    x = 440,960.44/741.42
  6. Step 6: Final answer
    x = 594.75

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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.