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Finding the Fourth Proportional to 583.64, 875.46 and 172.78

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Solution

The fourth proportional to 583.64, 875.46 and 172.78 is: 259.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.64 : 875.46 = 172.78 : x
  2. Step 2: Convert to fraction form
    583.64/875.46 = 172.78/x
  3. Step 3: Cross multiply
    583.64x = 875.46 × 172.78
  4. Step 4: Simplify right side
    583.64x = 151,261.98
  5. Step 5: Solve for x
    x = 151,261.98/583.64
  6. Step 6: Final answer
    x = 259.17

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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.