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Finding the Fourth Proportional to 307.82, 460.70 and 258.62

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Solution

The fourth proportional to 307.82, 460.70 and 258.62 is: 387.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.82 : 460.70 = 258.62 : x
  2. Step 2: Convert to fraction form
    307.82/460.70 = 258.62/x
  3. Step 3: Cross multiply
    307.82x = 460.70 × 258.62
  4. Step 4: Simplify right side
    307.82x = 119,146.23
  5. Step 5: Solve for x
    x = 119,146.23/307.82
  6. Step 6: Final answer
    x = 387.06

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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.