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Finding the Fourth Proportional to 584.61, 877.52 and 325

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Solution

The fourth proportional to 584.61, 877.52 and 325 is: 487.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.61 : 877.52 = 325 : x
  2. Step 2: Convert to fraction form
    584.61/877.52 = 325/x
  3. Step 3: Cross multiply
    584.61x = 877.52 × 325
  4. Step 4: Simplify right side
    584.61x = 285,194
  5. Step 5: Solve for x
    x = 285,194/584.61
  6. Step 6: Final answer
    x = 487.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.