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Finding the Fourth Proportional to 364.34, 546.69 and 266.94

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Solution

The fourth proportional to 364.34, 546.69 and 266.94 is: 400.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.34 : 546.69 = 266.94 : x
  2. Step 2: Convert to fraction form
    364.34/546.69 = 266.94/x
  3. Step 3: Cross multiply
    364.34x = 546.69 × 266.94
  4. Step 4: Simplify right side
    364.34x = 145,934.43
  5. Step 5: Solve for x
    x = 145,934.43/364.34
  6. Step 6: Final answer
    x = 400.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.