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Finding the Fourth Proportional to 615.68, 923.98 and 453.80

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Solution

The fourth proportional to 615.68, 923.98 and 453.80 is: 681.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.68 : 923.98 = 453.80 : x
  2. Step 2: Convert to fraction form
    615.68/923.98 = 453.80/x
  3. Step 3: Cross multiply
    615.68x = 923.98 × 453.80
  4. Step 4: Simplify right side
    615.68x = 419,302.12
  5. Step 5: Solve for x
    x = 419,302.12/615.68
  6. Step 6: Final answer
    x = 681.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.