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Finding the Fourth Proportional to 583.95, 876.23 and 259.54

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Solution

The fourth proportional to 583.95, 876.23 and 259.54 is: 389.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.95 : 876.23 = 259.54 : x
  2. Step 2: Convert to fraction form
    583.95/876.23 = 259.54/x
  3. Step 3: Cross multiply
    583.95x = 876.23 × 259.54
  4. Step 4: Simplify right side
    583.95x = 227,416.73
  5. Step 5: Solve for x
    x = 227,416.73/583.95
  6. Step 6: Final answer
    x = 389.45

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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.