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Finding the Fourth Proportional to 583.18, 874.11 and 258.46

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Solution

The fourth proportional to 583.18, 874.11 and 258.46 is: 387.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.18 : 874.11 = 258.46 : x
  2. Step 2: Convert to fraction form
    583.18/874.11 = 258.46/x
  3. Step 3: Cross multiply
    583.18x = 874.11 × 258.46
  4. Step 4: Simplify right side
    583.18x = 225,922.47
  5. Step 5: Solve for x
    x = 225,922.47/583.18
  6. Step 6: Final answer
    x = 387.40

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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.