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Finding the Fourth Proportional to 584.08, 876.24 and 259.28

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Solution

The fourth proportional to 584.08, 876.24 and 259.28 is: 388.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.08 : 876.24 = 259.28 : x
  2. Step 2: Convert to fraction form
    584.08/876.24 = 259.28/x
  3. Step 3: Cross multiply
    584.08x = 876.24 × 259.28
  4. Step 4: Simplify right side
    584.08x = 227,191.51
  5. Step 5: Solve for x
    x = 227,191.51/584.08
  6. Step 6: Final answer
    x = 388.97

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Why These Related Problems?

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