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Finding the Fourth Proportional to 577.63, 797.14 and 315.64

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Solution

The fourth proportional to 577.63, 797.14 and 315.64 is: 435.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.63 : 797.14 = 315.64 : x
  2. Step 2: Convert to fraction form
    577.63/797.14 = 315.64/x
  3. Step 3: Cross multiply
    577.63x = 797.14 × 315.64
  4. Step 4: Simplify right side
    577.63x = 251,609.27
  5. Step 5: Solve for x
    x = 251,609.27/577.63
  6. Step 6: Final answer
    x = 435.59

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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.