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Finding the Fourth Proportional to 357.00, 538.13 and 327.38

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Solution

The fourth proportional to 357.00, 538.13 and 327.38 is: 493.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.00 : 538.13 = 327.38 : x
  2. Step 2: Convert to fraction form
    357.00/538.13 = 327.38/x
  3. Step 3: Cross multiply
    357.00x = 538.13 × 327.38
  4. Step 4: Simplify right side
    357.00x = 176,168.67
  5. Step 5: Solve for x
    x = 176,168.67/357.00
  6. Step 6: Final answer
    x = 493.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.