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Finding the Fourth Proportional to 653.17, 979.76 and 306.40

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Solution

The fourth proportional to 653.17, 979.76 and 306.40 is: 459.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.17 : 979.76 = 306.40 : x
  2. Step 2: Convert to fraction form
    653.17/979.76 = 306.40/x
  3. Step 3: Cross multiply
    653.17x = 979.76 × 306.40
  4. Step 4: Simplify right side
    653.17x = 300,198.46
  5. Step 5: Solve for x
    x = 300,198.46/653.17
  6. Step 6: Final answer
    x = 459.60

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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.