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Finding the Fourth Proportional to 656.84, 984.39 and 309.70

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Solution

The fourth proportional to 656.84, 984.39 and 309.70 is: 464.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.84 : 984.39 = 309.70 : x
  2. Step 2: Convert to fraction form
    656.84/984.39 = 309.70/x
  3. Step 3: Cross multiply
    656.84x = 984.39 × 309.70
  4. Step 4: Simplify right side
    656.84x = 304,865.50
  5. Step 5: Solve for x
    x = 304,865.50/656.84
  6. Step 6: Final answer
    x = 464.14

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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.