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Finding the Fourth Proportional to 577.14, 796 and 510.82

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Solution

The fourth proportional to 577.14, 796 and 510.82 is: 704.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.14 : 796 = 510.82 : x
  2. Step 2: Convert to fraction form
    577.14/796 = 510.82/x
  3. Step 3: Cross multiply
    577.14x = 796 × 510.82
  4. Step 4: Simplify right side
    577.14x = 406,612.72
  5. Step 5: Solve for x
    x = 406,612.72/577.14
  6. Step 6: Final answer
    x = 704.53

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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.