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Finding the Fourth Proportional to 496.41, 684.63 and 430.80

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Solution

The fourth proportional to 496.41, 684.63 and 430.80 is: 594.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.41 : 684.63 = 430.80 : x
  2. Step 2: Convert to fraction form
    496.41/684.63 = 430.80/x
  3. Step 3: Cross multiply
    496.41x = 684.63 × 430.80
  4. Step 4: Simplify right side
    496.41x = 294,938.60
  5. Step 5: Solve for x
    x = 294,938.60/496.41
  6. Step 6: Final answer
    x = 594.14

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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.