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Finding the Fourth Proportional to 584.32, 875.96 and 259.44

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Solution

The fourth proportional to 584.32, 875.96 and 259.44 is: 388.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.32 : 875.96 = 259.44 : x
  2. Step 2: Convert to fraction form
    584.32/875.96 = 259.44/x
  3. Step 3: Cross multiply
    584.32x = 875.96 × 259.44
  4. Step 4: Simplify right side
    584.32x = 227,259.06
  5. Step 5: Solve for x
    x = 227,259.06/584.32
  6. Step 6: Final answer
    x = 388.93

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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.