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Finding the Fourth Proportional to 385.86, 531.74 and 361.14

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Solution

The fourth proportional to 385.86, 531.74 and 361.14 is: 497.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.86 : 531.74 = 361.14 : x
  2. Step 2: Convert to fraction form
    385.86/531.74 = 361.14/x
  3. Step 3: Cross multiply
    385.86x = 531.74 × 361.14
  4. Step 4: Simplify right side
    385.86x = 192,032.58
  5. Step 5: Solve for x
    x = 192,032.58/385.86
  6. Step 6: Final answer
    x = 497.67

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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.