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Finding the Fourth Proportional to 258.40, 387.64 and 75.77

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Solution

The fourth proportional to 258.40, 387.64 and 75.77 is: 113.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.40 : 387.64 = 75.77 : x
  2. Step 2: Convert to fraction form
    258.40/387.64 = 75.77/x
  3. Step 3: Cross multiply
    258.40x = 387.64 × 75.77
  4. Step 4: Simplify right side
    258.40x = 29,370.81
  5. Step 5: Solve for x
    x = 29,370.81/258.40
  6. Step 6: Final answer
    x = 113.66

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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.