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Finding the Fourth Proportional to 638.88, 881.76 and 573.24

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Solution

The fourth proportional to 638.88, 881.76 and 573.24 is: 791.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.88 : 881.76 = 573.24 : x
  2. Step 2: Convert to fraction form
    638.88/881.76 = 573.24/x
  3. Step 3: Cross multiply
    638.88x = 881.76 × 573.24
  4. Step 4: Simplify right side
    638.88x = 505,460.10
  5. Step 5: Solve for x
    x = 505,460.10/638.88
  6. Step 6: Final answer
    x = 791.17

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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.