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Finding the Fourth Proportional to 510.79, 766.05 and 236.61

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Solution

The fourth proportional to 510.79, 766.05 and 236.61 is: 354.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.79 : 766.05 = 236.61 : x
  2. Step 2: Convert to fraction form
    510.79/766.05 = 236.61/x
  3. Step 3: Cross multiply
    510.79x = 766.05 × 236.61
  4. Step 4: Simplify right side
    510.79x = 181,255.09
  5. Step 5: Solve for x
    x = 181,255.09/510.79
  6. Step 6: Final answer
    x = 354.85

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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.