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Finding the Fourth Proportional to 577.14, 796.46 and 315.16

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Solution

The fourth proportional to 577.14, 796.46 and 315.16 is: 434.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.14 : 796.46 = 315.16 : x
  2. Step 2: Convert to fraction form
    577.14/796.46 = 315.16/x
  3. Step 3: Cross multiply
    577.14x = 796.46 × 315.16
  4. Step 4: Simplify right side
    577.14x = 251,010.76
  5. Step 5: Solve for x
    x = 251,010.76/577.14
  6. Step 6: Final answer
    x = 434.92

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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.