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Finding the Fourth Proportional to 656.09, 984.08 and 460.50

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Solution

The fourth proportional to 656.09, 984.08 and 460.50 is: 690.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.09 : 984.08 = 460.50 : x
  2. Step 2: Convert to fraction form
    656.09/984.08 = 460.50/x
  3. Step 3: Cross multiply
    656.09x = 984.08 × 460.50
  4. Step 4: Simplify right side
    656.09x = 453,166.54
  5. Step 5: Solve for x
    x = 453,166.54/656.09
  6. Step 6: Final answer
    x = 690.71

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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.