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Finding the Fourth Proportional to 606.52, 910.71 and 364.12

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Solution

The fourth proportional to 606.52, 910.71 and 364.12 is: 546.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.52 : 910.71 = 364.12 : x
  2. Step 2: Convert to fraction form
    606.52/910.71 = 364.12/x
  3. Step 3: Cross multiply
    606.52x = 910.71 × 364.12
  4. Step 4: Simplify right side
    606.52x = 331,607.73
  5. Step 5: Solve for x
    x = 331,607.73/606.52
  6. Step 6: Final answer
    x = 546.74

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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.