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Finding the Fourth Proportional to 510.39, 704.39 and 313.98

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Solution

The fourth proportional to 510.39, 704.39 and 313.98 is: 433.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.39 : 704.39 = 313.98 : x
  2. Step 2: Convert to fraction form
    510.39/704.39 = 313.98/x
  3. Step 3: Cross multiply
    510.39x = 704.39 × 313.98
  4. Step 4: Simplify right side
    510.39x = 221,162.80
  5. Step 5: Solve for x
    x = 221,162.80/510.39
  6. Step 6: Final answer
    x = 433.32

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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.