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Finding the Fourth Proportional to 647.27, 970.00 and 365.60

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Solution

The fourth proportional to 647.27, 970.00 and 365.60 is: 547.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.27 : 970.00 = 365.60 : x
  2. Step 2: Convert to fraction form
    647.27/970.00 = 365.60/x
  3. Step 3: Cross multiply
    647.27x = 970.00 × 365.60
  4. Step 4: Simplify right side
    647.27x = 354,629.08
  5. Step 5: Solve for x
    x = 354,629.08/647.27
  6. Step 6: Final answer
    x = 547.88

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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.