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Finding the Fourth Proportional to 510.20, 765.84 and 305

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Solution

The fourth proportional to 510.20, 765.84 and 305 is: 457.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.20 : 765.84 = 305 : x
  2. Step 2: Convert to fraction form
    510.20/765.84 = 305/x
  3. Step 3: Cross multiply
    510.20x = 765.84 × 305
  4. Step 4: Simplify right side
    510.20x = 233,581.20
  5. Step 5: Solve for x
    x = 233,581.20/510.20
  6. Step 6: Final answer
    x = 457.82

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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.