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Finding the Fourth Proportional to 583.71, 875.84 and 259.17

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Solution

The fourth proportional to 583.71, 875.84 and 259.17 is: 388.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.71 : 875.84 = 259.17 : x
  2. Step 2: Convert to fraction form
    583.71/875.84 = 259.17/x
  3. Step 3: Cross multiply
    583.71x = 875.84 × 259.17
  4. Step 4: Simplify right side
    583.71x = 226,990.16
  5. Step 5: Solve for x
    x = 226,990.16/583.71
  6. Step 6: Final answer
    x = 388.87

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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.