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Finding the Fourth Proportional to 397.88, 549.06 and 266.84

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Solution

The fourth proportional to 397.88, 549.06 and 266.84 is: 368.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.88 : 549.06 = 266.84 : x
  2. Step 2: Convert to fraction form
    397.88/549.06 = 266.84/x
  3. Step 3: Cross multiply
    397.88x = 549.06 × 266.84
  4. Step 4: Simplify right side
    397.88x = 146,511.17
  5. Step 5: Solve for x
    x = 146,511.17/397.88
  6. Step 6: Final answer
    x = 368.23

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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.