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Finding the Fourth Proportional to 584.09, 876.28 and 218.89

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Solution

The fourth proportional to 584.09, 876.28 and 218.89 is: 328.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.09 : 876.28 = 218.89 : x
  2. Step 2: Convert to fraction form
    584.09/876.28 = 218.89/x
  3. Step 3: Cross multiply
    584.09x = 876.28 × 218.89
  4. Step 4: Simplify right side
    584.09x = 191,808.93
  5. Step 5: Solve for x
    x = 191,808.93/584.09
  6. Step 6: Final answer
    x = 328.39

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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.