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Finding the Fourth Proportional to 335, 462.48 and 224.63

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Solution

The fourth proportional to 335, 462.48 and 224.63 is: 310.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    335 : 462.48 = 224.63 : x
  2. Step 2: Convert to fraction form
    335/462.48 = 224.63/x
  3. Step 3: Cross multiply
    335x = 462.48 × 224.63
  4. Step 4: Simplify right side
    335x = 103,886.88
  5. Step 5: Solve for x
    x = 103,886.88/335
  6. Step 6: Final answer
    x = 310.11

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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.