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Finding the Fourth Proportional to 510.28, 703.96 and 335.68

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Solution

The fourth proportional to 510.28, 703.96 and 335.68 is: 463.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.28 : 703.96 = 335.68 : x
  2. Step 2: Convert to fraction form
    510.28/703.96 = 335.68/x
  3. Step 3: Cross multiply
    510.28x = 703.96 × 335.68
  4. Step 4: Simplify right side
    510.28x = 236,305.29
  5. Step 5: Solve for x
    x = 236,305.29/510.28
  6. Step 6: Final answer
    x = 463.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.