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Finding the Fourth Proportional to 583.70, 876 and 259.34

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Solution

The fourth proportional to 583.70, 876 and 259.34 is: 389.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.70 : 876 = 259.34 : x
  2. Step 2: Convert to fraction form
    583.70/876 = 259.34/x
  3. Step 3: Cross multiply
    583.70x = 876 × 259.34
  4. Step 4: Simplify right side
    583.70x = 227,181.84
  5. Step 5: Solve for x
    x = 227,181.84/583.70
  6. Step 6: Final answer
    x = 389.21

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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.