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Finding the Fourth Proportional to 505.54, 758.05 and 258.71

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Solution

The fourth proportional to 505.54, 758.05 and 258.71 is: 387.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.54 : 758.05 = 258.71 : x
  2. Step 2: Convert to fraction form
    505.54/758.05 = 258.71/x
  3. Step 3: Cross multiply
    505.54x = 758.05 × 258.71
  4. Step 4: Simplify right side
    505.54x = 196,115.12
  5. Step 5: Solve for x
    x = 196,115.12/505.54
  6. Step 6: Final answer
    x = 387.93

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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.