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Finding the Fourth Proportional to 547.90, 756.08 and 299.22

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Solution

The fourth proportional to 547.90, 756.08 and 299.22 is: 412.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.90 : 756.08 = 299.22 : x
  2. Step 2: Convert to fraction form
    547.90/756.08 = 299.22/x
  3. Step 3: Cross multiply
    547.90x = 756.08 × 299.22
  4. Step 4: Simplify right side
    547.90x = 226,233.12
  5. Step 5: Solve for x
    x = 226,233.12/547.90
  6. Step 6: Final answer
    x = 412.91

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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.