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Finding the Fourth Proportional to 615.68, 922.80 and 290.60

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Solution

The fourth proportional to 615.68, 922.80 and 290.60 is: 435.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.68 : 922.80 = 290.60 : x
  2. Step 2: Convert to fraction form
    615.68/922.80 = 290.60/x
  3. Step 3: Cross multiply
    615.68x = 922.80 × 290.60
  4. Step 4: Simplify right side
    615.68x = 268,165.68
  5. Step 5: Solve for x
    x = 268,165.68/615.68
  6. Step 6: Final answer
    x = 435.56

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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.