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Finding the Fourth Proportional to 606.58, 909.87 and 364.66

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Solution

The fourth proportional to 606.58, 909.87 and 364.66 is: 546.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.58 : 909.87 = 364.66 : x
  2. Step 2: Convert to fraction form
    606.58/909.87 = 364.66/x
  3. Step 3: Cross multiply
    606.58x = 909.87 × 364.66
  4. Step 4: Simplify right side
    606.58x = 331,793.19
  5. Step 5: Solve for x
    x = 331,793.19/606.58
  6. Step 6: Final answer
    x = 546.99

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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.