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Finding the Fourth Proportional to 607.37, 911.28 and 364.07

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Solution

The fourth proportional to 607.37, 911.28 and 364.07 is: 546.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.37 : 911.28 = 364.07 : x
  2. Step 2: Convert to fraction form
    607.37/911.28 = 364.07/x
  3. Step 3: Cross multiply
    607.37x = 911.28 × 364.07
  4. Step 4: Simplify right side
    607.37x = 331,769.71
  5. Step 5: Solve for x
    x = 331,769.71/607.37
  6. Step 6: Final answer
    x = 546.24

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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.