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Finding the Fourth Proportional to 299.34, 446.91 and 256.03

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Solution

The fourth proportional to 299.34, 446.91 and 256.03 is: 382.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.34 : 446.91 = 256.03 : x
  2. Step 2: Convert to fraction form
    299.34/446.91 = 256.03/x
  3. Step 3: Cross multiply
    299.34x = 446.91 × 256.03
  4. Step 4: Simplify right side
    299.34x = 114,421.25
  5. Step 5: Solve for x
    x = 114,421.25/299.34
  6. Step 6: Final answer
    x = 382.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.