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Finding the Fourth Proportional to 397.09, 547.77 and 279.02

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Solution

The fourth proportional to 397.09, 547.77 and 279.02 is: 384.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.09 : 547.77 = 279.02 : x
  2. Step 2: Convert to fraction form
    397.09/547.77 = 279.02/x
  3. Step 3: Cross multiply
    397.09x = 547.77 × 279.02
  4. Step 4: Simplify right side
    397.09x = 152,838.88
  5. Step 5: Solve for x
    x = 152,838.88/397.09
  6. Step 6: Final answer
    x = 384.89

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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.