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Finding the Fourth Proportional to 368.64, 511.20 and 356.76

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Solution

The fourth proportional to 368.64, 511.20 and 356.76 is: 494.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.64 : 511.20 = 356.76 : x
  2. Step 2: Convert to fraction form
    368.64/511.20 = 356.76/x
  3. Step 3: Cross multiply
    368.64x = 511.20 × 356.76
  4. Step 4: Simplify right side
    368.64x = 182,375.71
  5. Step 5: Solve for x
    x = 182,375.71/368.64
  6. Step 6: Final answer
    x = 494.73

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.