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Finding the Fourth Proportional to 510.04, 764.52 and 236.31

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Solution

The fourth proportional to 510.04, 764.52 and 236.31 is: 354.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.04 : 764.52 = 236.31 : x
  2. Step 2: Convert to fraction form
    510.04/764.52 = 236.31/x
  3. Step 3: Cross multiply
    510.04x = 764.52 × 236.31
  4. Step 4: Simplify right side
    510.04x = 180,663.72
  5. Step 5: Solve for x
    x = 180,663.72/510.04
  6. Step 6: Final answer
    x = 354.21

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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.