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Finding the Fourth Proportional to 510.43, 704.33 and 313.89

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Solution

The fourth proportional to 510.43, 704.33 and 313.89 is: 433.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.43 : 704.33 = 313.89 : x
  2. Step 2: Convert to fraction form
    510.43/704.33 = 313.89/x
  3. Step 3: Cross multiply
    510.43x = 704.33 × 313.89
  4. Step 4: Simplify right side
    510.43x = 221,077.05
  5. Step 5: Solve for x
    x = 221,077.05/510.43
  6. Step 6: Final answer
    x = 433.12

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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.