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Finding the Fourth Proportional to 584.11, 875.91 and 259.25

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Solution

The fourth proportional to 584.11, 875.91 and 259.25 is: 388.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.11 : 875.91 = 259.25 : x
  2. Step 2: Convert to fraction form
    584.11/875.91 = 259.25/x
  3. Step 3: Cross multiply
    584.11x = 875.91 × 259.25
  4. Step 4: Simplify right side
    584.11x = 227,079.67
  5. Step 5: Solve for x
    x = 227,079.67/584.11
  6. Step 6: Final answer
    x = 388.77

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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.