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Finding the Fourth Proportional to 385.32, 531.86 and 365.74

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Solution

The fourth proportional to 385.32, 531.86 and 365.74 is: 504.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.32 : 531.86 = 365.74 : x
  2. Step 2: Convert to fraction form
    385.32/531.86 = 365.74/x
  3. Step 3: Cross multiply
    385.32x = 531.86 × 365.74
  4. Step 4: Simplify right side
    385.32x = 194,522.48
  5. Step 5: Solve for x
    x = 194,522.48/385.32
  6. Step 6: Final answer
    x = 504.83

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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.