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Finding the Fourth Proportional to 718.40, 990.72 and 423.68

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Solution

The fourth proportional to 718.40, 990.72 and 423.68 is: 584.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.40 : 990.72 = 423.68 : x
  2. Step 2: Convert to fraction form
    718.40/990.72 = 423.68/x
  3. Step 3: Cross multiply
    718.40x = 990.72 × 423.68
  4. Step 4: Simplify right side
    718.40x = 419,748.25
  5. Step 5: Solve for x
    x = 419,748.25/718.40
  6. Step 6: Final answer
    x = 584.28

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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.