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Finding the Fourth Proportional to 307.59, 424.67 and 234.28

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Solution

The fourth proportional to 307.59, 424.67 and 234.28 is: 323.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.59 : 424.67 = 234.28 : x
  2. Step 2: Convert to fraction form
    307.59/424.67 = 234.28/x
  3. Step 3: Cross multiply
    307.59x = 424.67 × 234.28
  4. Step 4: Simplify right side
    307.59x = 99,491.69
  5. Step 5: Solve for x
    x = 99,491.69/307.59
  6. Step 6: Final answer
    x = 323.46

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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.