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Finding the Fourth Proportional to 340.14, 509.10 and 258.54

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Solution

The fourth proportional to 340.14, 509.10 and 258.54 is: 386.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.14 : 509.10 = 258.54 : x
  2. Step 2: Convert to fraction form
    340.14/509.10 = 258.54/x
  3. Step 3: Cross multiply
    340.14x = 509.10 × 258.54
  4. Step 4: Simplify right side
    340.14x = 131,622.71
  5. Step 5: Solve for x
    x = 131,622.71/340.14
  6. Step 6: Final answer
    x = 386.97

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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.