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Finding the Fourth Proportional to 412.60, 617.87 and 258.06

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Solution

The fourth proportional to 412.60, 617.87 and 258.06 is: 386.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.60 : 617.87 = 258.06 : x
  2. Step 2: Convert to fraction form
    412.60/617.87 = 258.06/x
  3. Step 3: Cross multiply
    412.60x = 617.87 × 258.06
  4. Step 4: Simplify right side
    412.60x = 159,447.53
  5. Step 5: Solve for x
    x = 159,447.53/412.60
  6. Step 6: Final answer
    x = 386.45

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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.