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Finding the Fourth Proportional to 402.54, 555.34 and 245.13

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Solution

The fourth proportional to 402.54, 555.34 and 245.13 is: 338.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.54 : 555.34 = 245.13 : x
  2. Step 2: Convert to fraction form
    402.54/555.34 = 245.13/x
  3. Step 3: Cross multiply
    402.54x = 555.34 × 245.13
  4. Step 4: Simplify right side
    402.54x = 136,130.49
  5. Step 5: Solve for x
    x = 136,130.49/402.54
  6. Step 6: Final answer
    x = 338.18

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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.