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Finding the Fourth Proportional to 584.59, 876.63 and 219.12

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Solution

The fourth proportional to 584.59, 876.63 and 219.12 is: 328.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.59 : 876.63 = 219.12 : x
  2. Step 2: Convert to fraction form
    584.59/876.63 = 219.12/x
  3. Step 3: Cross multiply
    584.59x = 876.63 × 219.12
  4. Step 4: Simplify right side
    584.59x = 192,086.07
  5. Step 5: Solve for x
    x = 192,086.07/584.59
  6. Step 6: Final answer
    x = 328.58

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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.