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Finding the Fourth Proportional to 583.55, 875.52 and 259.14

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Solution

The fourth proportional to 583.55, 875.52 and 259.14 is: 388.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.55 : 875.52 = 259.14 : x
  2. Step 2: Convert to fraction form
    583.55/875.52 = 259.14/x
  3. Step 3: Cross multiply
    583.55x = 875.52 × 259.14
  4. Step 4: Simplify right side
    583.55x = 226,882.25
  5. Step 5: Solve for x
    x = 226,882.25/583.55
  6. Step 6: Final answer
    x = 388.80

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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.