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Finding the Fourth Proportional to 510.25, 704.31 and 326.25

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Solution

The fourth proportional to 510.25, 704.31 and 326.25 is: 450.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.25 : 704.31 = 326.25 : x
  2. Step 2: Convert to fraction form
    510.25/704.31 = 326.25/x
  3. Step 3: Cross multiply
    510.25x = 704.31 × 326.25
  4. Step 4: Simplify right side
    510.25x = 229,779.51
  5. Step 5: Solve for x
    x = 229,779.51/510.25
  6. Step 6: Final answer
    x = 450.33

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Why These Related Problems?

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