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Finding the Fourth Proportional to 389.64, 540.93 and 377.76

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Solution

The fourth proportional to 389.64, 540.93 and 377.76 is: 524.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.64 : 540.93 = 377.76 : x
  2. Step 2: Convert to fraction form
    389.64/540.93 = 377.76/x
  3. Step 3: Cross multiply
    389.64x = 540.93 × 377.76
  4. Step 4: Simplify right side
    389.64x = 204,341.72
  5. Step 5: Solve for x
    x = 204,341.72/389.64
  6. Step 6: Final answer
    x = 524.44

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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.