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Finding the Fourth Proportional to 336, 463.50 and 225.29

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Solution

The fourth proportional to 336, 463.50 and 225.29 is: 310.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    336 : 463.50 = 225.29 : x
  2. Step 2: Convert to fraction form
    336/463.50 = 225.29/x
  3. Step 3: Cross multiply
    336x = 463.50 × 225.29
  4. Step 4: Simplify right side
    336x = 104,419.60
  5. Step 5: Solve for x
    x = 104,419.60/336
  6. Step 6: Final answer
    x = 310.77

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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.