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Finding the Fourth Proportional to 583.47, 874.53 and 258.39

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Solution

The fourth proportional to 583.47, 874.53 and 258.39 is: 387.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.47 : 874.53 = 258.39 : x
  2. Step 2: Convert to fraction form
    583.47/874.53 = 258.39/x
  3. Step 3: Cross multiply
    583.47x = 874.53 × 258.39
  4. Step 4: Simplify right side
    583.47x = 225,969.81
  5. Step 5: Solve for x
    x = 225,969.81/583.47
  6. Step 6: Final answer
    x = 387.29

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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.