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Finding the Fourth Proportional to 538.55, 806.76 and 355.38

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Solution

The fourth proportional to 538.55, 806.76 and 355.38 is: 532.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.55 : 806.76 = 355.38 : x
  2. Step 2: Convert to fraction form
    538.55/806.76 = 355.38/x
  3. Step 3: Cross multiply
    538.55x = 806.76 × 355.38
  4. Step 4: Simplify right side
    538.55x = 286,709.72
  5. Step 5: Solve for x
    x = 286,709.72/538.55
  6. Step 6: Final answer
    x = 532.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.