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Finding the Fourth Proportional to 510.82, 704.57 and 314.42

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Solution

The fourth proportional to 510.82, 704.57 and 314.42 is: 433.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.82 : 704.57 = 314.42 : x
  2. Step 2: Convert to fraction form
    510.82/704.57 = 314.42/x
  3. Step 3: Cross multiply
    510.82x = 704.57 × 314.42
  4. Step 4: Simplify right side
    510.82x = 221,525.80
  5. Step 5: Solve for x
    x = 221,525.80/510.82
  6. Step 6: Final answer
    x = 433.67

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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.