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Finding the Fourth Proportional to 510.13, 763.72 and 301.26

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Solution

The fourth proportional to 510.13, 763.72 and 301.26 is: 451.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.13 : 763.72 = 301.26 : x
  2. Step 2: Convert to fraction form
    510.13/763.72 = 301.26/x
  3. Step 3: Cross multiply
    510.13x = 763.72 × 301.26
  4. Step 4: Simplify right side
    510.13x = 230,078.29
  5. Step 5: Solve for x
    x = 230,078.29/510.13
  6. Step 6: Final answer
    x = 451.02

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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.