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Finding the Fourth Proportional to 607.62, 911.66 and 364.32

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Solution

The fourth proportional to 607.62, 911.66 and 364.32 is: 546.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.62 : 911.66 = 364.32 : x
  2. Step 2: Convert to fraction form
    607.62/911.66 = 364.32/x
  3. Step 3: Cross multiply
    607.62x = 911.66 × 364.32
  4. Step 4: Simplify right side
    607.62x = 332,131.41
  5. Step 5: Solve for x
    x = 332,131.41/607.62
  6. Step 6: Final answer
    x = 546.61

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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.