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Finding the Fourth Proportional to 577.16, 796.50 and 328.50

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Solution

The fourth proportional to 577.16, 796.50 and 328.50 is: 453.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.16 : 796.50 = 328.50 : x
  2. Step 2: Convert to fraction form
    577.16/796.50 = 328.50/x
  3. Step 3: Cross multiply
    577.16x = 796.50 × 328.50
  4. Step 4: Simplify right side
    577.16x = 261,644.63
  5. Step 5: Solve for x
    x = 261,644.63/577.16
  6. Step 6: Final answer
    x = 453.34

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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.