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Finding the Fourth Proportional to 510.50, 765.86 and 293.63

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Solution

The fourth proportional to 510.50, 765.86 and 293.63 is: 440.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.50 : 765.86 = 293.63 : x
  2. Step 2: Convert to fraction form
    510.50/765.86 = 293.63/x
  3. Step 3: Cross multiply
    510.50x = 765.86 × 293.63
  4. Step 4: Simplify right side
    510.50x = 224,874.17
  5. Step 5: Solve for x
    x = 224,874.17/510.50
  6. Step 6: Final answer
    x = 440.50

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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.