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Finding the Fourth Proportional to 510.20, 764.98 and 235.92

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Solution

The fourth proportional to 510.20, 764.98 and 235.92 is: 353.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.20 : 764.98 = 235.92 : x
  2. Step 2: Convert to fraction form
    510.20/764.98 = 235.92/x
  3. Step 3: Cross multiply
    510.20x = 764.98 × 235.92
  4. Step 4: Simplify right side
    510.20x = 180,474.08
  5. Step 5: Solve for x
    x = 180,474.08/510.20
  6. Step 6: Final answer
    x = 353.73

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Double scale
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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.