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Finding the Fourth Proportional to 717.45, 1,076.04 and 306.63

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Solution

The fourth proportional to 717.45, 1,076.04 and 306.63 is: 459.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.45 : 1,076.04 = 306.63 : x
  2. Step 2: Convert to fraction form
    717.45/1,076.04 = 306.63/x
  3. Step 3: Cross multiply
    717.45x = 1,076.04 × 306.63
  4. Step 4: Simplify right side
    717.45x = 329,946.15
  5. Step 5: Solve for x
    x = 329,946.15/717.45
  6. Step 6: Final answer
    x = 459.89

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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.