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Finding the Fourth Proportional to 510.47, 704.13 and 313.64

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Solution

The fourth proportional to 510.47, 704.13 and 313.64 is: 432.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.47 : 704.13 = 313.64 : x
  2. Step 2: Convert to fraction form
    510.47/704.13 = 313.64/x
  3. Step 3: Cross multiply
    510.47x = 704.13 × 313.64
  4. Step 4: Simplify right side
    510.47x = 220,843.33
  5. Step 5: Solve for x
    x = 220,843.33/510.47
  6. Step 6: Final answer
    x = 432.63

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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.