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Finding the Fourth Proportional to 583.70, 875.96 and 259.30

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Solution

The fourth proportional to 583.70, 875.96 and 259.30 is: 389.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.70 : 875.96 = 259.30 : x
  2. Step 2: Convert to fraction form
    583.70/875.96 = 259.30/x
  3. Step 3: Cross multiply
    583.70x = 875.96 × 259.30
  4. Step 4: Simplify right side
    583.70x = 227,136.43
  5. Step 5: Solve for x
    x = 227,136.43/583.70
  6. Step 6: Final answer
    x = 389.13

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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.