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Finding the Fourth Proportional to 583.98, 875.78 and 259.58

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Solution

The fourth proportional to 583.98, 875.78 and 259.58 is: 389.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.98 : 875.78 = 259.58 : x
  2. Step 2: Convert to fraction form
    583.98/875.78 = 259.58/x
  3. Step 3: Cross multiply
    583.98x = 875.78 × 259.58
  4. Step 4: Simplify right side
    583.98x = 227,334.97
  5. Step 5: Solve for x
    x = 227,334.97/583.98
  6. Step 6: Final answer
    x = 389.29

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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.