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Finding the Fourth Proportional to 514.89, 773.28 and 462.06

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Solution

The fourth proportional to 514.89, 773.28 and 462.06 is: 693.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.89 : 773.28 = 462.06 : x
  2. Step 2: Convert to fraction form
    514.89/773.28 = 462.06/x
  3. Step 3: Cross multiply
    514.89x = 773.28 × 462.06
  4. Step 4: Simplify right side
    514.89x = 357,301.76
  5. Step 5: Solve for x
    x = 357,301.76/514.89
  6. Step 6: Final answer
    x = 693.94

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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.