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Finding the Fourth Proportional to 510.28, 704.22 and 313.86

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Solution

The fourth proportional to 510.28, 704.22 and 313.86 is: 433.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.28 : 704.22 = 313.86 : x
  2. Step 2: Convert to fraction form
    510.28/704.22 = 313.86/x
  3. Step 3: Cross multiply
    510.28x = 704.22 × 313.86
  4. Step 4: Simplify right side
    510.28x = 221,026.49
  5. Step 5: Solve for x
    x = 221,026.49/510.28
  6. Step 6: Final answer
    x = 433.15

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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.