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Finding the Fourth Proportional to 510.50, 765.05 and 294.23

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Solution

The fourth proportional to 510.50, 765.05 and 294.23 is: 440.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.50 : 765.05 = 294.23 : x
  2. Step 2: Convert to fraction form
    510.50/765.05 = 294.23/x
  3. Step 3: Cross multiply
    510.50x = 765.05 × 294.23
  4. Step 4: Simplify right side
    510.50x = 225,101.10
  5. Step 5: Solve for x
    x = 225,101.10/510.50
  6. Step 6: Final answer
    x = 440.94

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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.