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Finding the Fourth Proportional to 584.01, 876.29 and 259.33

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Solution

The fourth proportional to 584.01, 876.29 and 259.33 is: 389.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.01 : 876.29 = 259.33 : x
  2. Step 2: Convert to fraction form
    584.01/876.29 = 259.33/x
  3. Step 3: Cross multiply
    584.01x = 876.29 × 259.33
  4. Step 4: Simplify right side
    584.01x = 227,248.29
  5. Step 5: Solve for x
    x = 227,248.29/584.01
  6. Step 6: Final answer
    x = 389.12

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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.