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Finding the Fourth Proportional to 577.33, 796.73 and 315.35

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Solution

The fourth proportional to 577.33, 796.73 and 315.35 is: 435.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.33 : 796.73 = 315.35 : x
  2. Step 2: Convert to fraction form
    577.33/796.73 = 315.35/x
  3. Step 3: Cross multiply
    577.33x = 796.73 × 315.35
  4. Step 4: Simplify right side
    577.33x = 251,248.81
  5. Step 5: Solve for x
    x = 251,248.81/577.33
  6. Step 6: Final answer
    x = 435.19

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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.