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Finding the Fourth Proportional to 380.49, 524.91 and 306.91

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Solution

The fourth proportional to 380.49, 524.91 and 306.91 is: 423.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.49 : 524.91 = 306.91 : x
  2. Step 2: Convert to fraction form
    380.49/524.91 = 306.91/x
  3. Step 3: Cross multiply
    380.49x = 524.91 × 306.91
  4. Step 4: Simplify right side
    380.49x = 161,100.13
  5. Step 5: Solve for x
    x = 161,100.13/380.49
  6. Step 6: Final answer
    x = 423.40

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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.