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Finding the Fourth Proportional to 577.52, 796.29 and 466.65

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Solution

The fourth proportional to 577.52, 796.29 and 466.65 is: 643.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.52 : 796.29 = 466.65 : x
  2. Step 2: Convert to fraction form
    577.52/796.29 = 466.65/x
  3. Step 3: Cross multiply
    577.52x = 796.29 × 466.65
  4. Step 4: Simplify right side
    577.52x = 371,588.73
  5. Step 5: Solve for x
    x = 371,588.73/577.52
  6. Step 6: Final answer
    x = 643.42

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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.