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Finding the Fourth Proportional to 510.89, 766.51 and 202.94

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Solution

The fourth proportional to 510.89, 766.51 and 202.94 is: 304.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.89 : 766.51 = 202.94 : x
  2. Step 2: Convert to fraction form
    510.89/766.51 = 202.94/x
  3. Step 3: Cross multiply
    510.89x = 766.51 × 202.94
  4. Step 4: Simplify right side
    510.89x = 155,550.69
  5. Step 5: Solve for x
    x = 155,550.69/510.89
  6. Step 6: Final answer
    x = 304.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.