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Finding the Fourth Proportional to 510.87, 766.59 and 279.48

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Solution

The fourth proportional to 510.87, 766.59 and 279.48 is: 419.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.87 : 766.59 = 279.48 : x
  2. Step 2: Convert to fraction form
    510.87/766.59 = 279.48/x
  3. Step 3: Cross multiply
    510.87x = 766.59 × 279.48
  4. Step 4: Simplify right side
    510.87x = 214,246.57
  5. Step 5: Solve for x
    x = 214,246.57/510.87
  6. Step 6: Final answer
    x = 419.38

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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.