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Finding the Fourth Proportional to 583.88, 875.80 and 173.02

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Solution

The fourth proportional to 583.88, 875.80 and 173.02 is: 259.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.88 : 875.80 = 173.02 : x
  2. Step 2: Convert to fraction form
    583.88/875.80 = 173.02/x
  3. Step 3: Cross multiply
    583.88x = 875.80 × 173.02
  4. Step 4: Simplify right side
    583.88x = 151,530.92
  5. Step 5: Solve for x
    x = 151,530.92/583.88
  6. Step 6: Final answer
    x = 259.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.