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Finding the Fourth Proportional to 584.01, 876.22 and 259.40

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Solution

The fourth proportional to 584.01, 876.22 and 259.40 is: 389.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.01 : 876.22 = 259.40 : x
  2. Step 2: Convert to fraction form
    584.01/876.22 = 259.40/x
  3. Step 3: Cross multiply
    584.01x = 876.22 × 259.40
  4. Step 4: Simplify right side
    584.01x = 227,293.01
  5. Step 5: Solve for x
    x = 227,293.01/584.01
  6. Step 6: Final answer
    x = 389.19

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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.