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Finding the Fourth Proportional to 299.24, 445.64 and 291.48

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Solution

The fourth proportional to 299.24, 445.64 and 291.48 is: 434.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.24 : 445.64 = 291.48 : x
  2. Step 2: Convert to fraction form
    299.24/445.64 = 291.48/x
  3. Step 3: Cross multiply
    299.24x = 445.64 × 291.48
  4. Step 4: Simplify right side
    299.24x = 129,895.15
  5. Step 5: Solve for x
    x = 129,895.15/299.24
  6. Step 6: Final answer
    x = 434.08

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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.