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Finding the Fourth Proportional to 615.96, 924.08 and 205.10

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Solution

The fourth proportional to 615.96, 924.08 and 205.10 is: 307.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.96 : 924.08 = 205.10 : x
  2. Step 2: Convert to fraction form
    615.96/924.08 = 205.10/x
  3. Step 3: Cross multiply
    615.96x = 924.08 × 205.10
  4. Step 4: Simplify right side
    615.96x = 189,527.97
  5. Step 5: Solve for x
    x = 189,527.97/615.96
  6. Step 6: Final answer
    x = 307.70

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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.