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Finding the Fourth Proportional to 583.67, 875.37 and 172.84

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Solution

The fourth proportional to 583.67, 875.37 and 172.84 is: 259.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.67 : 875.37 = 172.84 : x
  2. Step 2: Convert to fraction form
    583.67/875.37 = 172.84/x
  3. Step 3: Cross multiply
    583.67x = 875.37 × 172.84
  4. Step 4: Simplify right side
    583.67x = 151,298.95
  5. Step 5: Solve for x
    x = 151,298.95/583.67
  6. Step 6: Final answer
    x = 259.22

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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.