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Finding the Fourth Proportional to 583.82, 875.73 and 172.96

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Solution

The fourth proportional to 583.82, 875.73 and 172.96 is: 259.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.82 : 875.73 = 172.96 : x
  2. Step 2: Convert to fraction form
    583.82/875.73 = 172.96/x
  3. Step 3: Cross multiply
    583.82x = 875.73 × 172.96
  4. Step 4: Simplify right side
    583.82x = 151,461.02
  5. Step 5: Solve for x
    x = 151,461.02/583.82
  6. Step 6: Final answer
    x = 259.43

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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.