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Finding the Fourth Proportional to 307.66, 424.17 and 258.46

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Solution

The fourth proportional to 307.66, 424.17 and 258.46 is: 356.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.66 : 424.17 = 258.46 : x
  2. Step 2: Convert to fraction form
    307.66/424.17 = 258.46/x
  3. Step 3: Cross multiply
    307.66x = 424.17 × 258.46
  4. Step 4: Simplify right side
    307.66x = 109,630.98
  5. Step 5: Solve for x
    x = 109,630.98/307.66
  6. Step 6: Final answer
    x = 356.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.