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Finding the Fourth Proportional to 508.56, 762.84 and 364.38

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Solution

The fourth proportional to 508.56, 762.84 and 364.38 is: 546.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.56 : 762.84 = 364.38 : x
  2. Step 2: Convert to fraction form
    508.56/762.84 = 364.38/x
  3. Step 3: Cross multiply
    508.56x = 762.84 × 364.38
  4. Step 4: Simplify right side
    508.56x = 277,963.64
  5. Step 5: Solve for x
    x = 277,963.64/508.56
  6. Step 6: Final answer
    x = 546.57

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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.