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Finding the Fourth Proportional to 510.56, 765.24 and 236.40

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Solution

The fourth proportional to 510.56, 765.24 and 236.40 is: 354.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.56 : 765.24 = 236.40 : x
  2. Step 2: Convert to fraction form
    510.56/765.24 = 236.40/x
  3. Step 3: Cross multiply
    510.56x = 765.24 × 236.40
  4. Step 4: Simplify right side
    510.56x = 180,902.74
  5. Step 5: Solve for x
    x = 180,902.74/510.56
  6. Step 6: Final answer
    x = 354.32

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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.