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Finding the Fourth Proportional to 510.36, 704.25 and 313.83

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Solution

The fourth proportional to 510.36, 704.25 and 313.83 is: 433.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.36 : 704.25 = 313.83 : x
  2. Step 2: Convert to fraction form
    510.36/704.25 = 313.83/x
  3. Step 3: Cross multiply
    510.36x = 704.25 × 313.83
  4. Step 4: Simplify right side
    510.36x = 221,014.78
  5. Step 5: Solve for x
    x = 221,014.78/510.36
  6. Step 6: Final answer
    x = 433.06

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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.