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Finding the Fourth Proportional to 573.60, 791.28 and 425.76

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Solution

The fourth proportional to 573.60, 791.28 and 425.76 is: 587.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.60 : 791.28 = 425.76 : x
  2. Step 2: Convert to fraction form
    573.60/791.28 = 425.76/x
  3. Step 3: Cross multiply
    573.60x = 791.28 × 425.76
  4. Step 4: Simplify right side
    573.60x = 336,895.37
  5. Step 5: Solve for x
    x = 336,895.37/573.60
  6. Step 6: Final answer
    x = 587.34

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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.