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Finding the Fourth Proportional to 515.64, 773.76 and 207.63

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Solution

The fourth proportional to 515.64, 773.76 and 207.63 is: 311.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.64 : 773.76 = 207.63 : x
  2. Step 2: Convert to fraction form
    515.64/773.76 = 207.63/x
  3. Step 3: Cross multiply
    515.64x = 773.76 × 207.63
  4. Step 4: Simplify right side
    515.64x = 160,655.79
  5. Step 5: Solve for x
    x = 160,655.79/515.64
  6. Step 6: Final answer
    x = 311.57

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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.