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Finding the Fourth Proportional to 510.89, 766.11 and 346.64

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Solution

The fourth proportional to 510.89, 766.11 and 346.64 is: 519.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.89 : 766.11 = 346.64 : x
  2. Step 2: Convert to fraction form
    510.89/766.11 = 346.64/x
  3. Step 3: Cross multiply
    510.89x = 766.11 × 346.64
  4. Step 4: Simplify right side
    510.89x = 265,564.37
  5. Step 5: Solve for x
    x = 265,564.37/510.89
  6. Step 6: Final answer
    x = 519.81

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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.