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Finding the Fourth Proportional to 485.97, 668.97 and 430.62

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Solution

The fourth proportional to 485.97, 668.97 and 430.62 is: 592.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.97 : 668.97 = 430.62 : x
  2. Step 2: Convert to fraction form
    485.97/668.97 = 430.62/x
  3. Step 3: Cross multiply
    485.97x = 668.97 × 430.62
  4. Step 4: Simplify right side
    485.97x = 288,071.86
  5. Step 5: Solve for x
    x = 288,071.86/485.97
  6. Step 6: Final answer
    x = 592.78

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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.