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Finding the Fourth Proportional to 583.79, 875.75 and 172.94

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Solution

The fourth proportional to 583.79, 875.75 and 172.94 is: 259.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.79 : 875.75 = 172.94 : x
  2. Step 2: Convert to fraction form
    583.79/875.75 = 172.94/x
  3. Step 3: Cross multiply
    583.79x = 875.75 × 172.94
  4. Step 4: Simplify right side
    583.79x = 151,446.96
  5. Step 5: Solve for x
    x = 151,446.96/583.79
  6. Step 6: Final answer
    x = 259.42

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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.