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Finding the Fourth Proportional to 510.31, 765.29 and 236.35

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Solution

The fourth proportional to 510.31, 765.29 and 236.35 is: 354.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.31 : 765.29 = 236.35 : x
  2. Step 2: Convert to fraction form
    510.31/765.29 = 236.35/x
  3. Step 3: Cross multiply
    510.31x = 765.29 × 236.35
  4. Step 4: Simplify right side
    510.31x = 180,875.11
  5. Step 5: Solve for x
    x = 180,875.11/510.31
  6. Step 6: Final answer
    x = 354.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.