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Finding the Fourth Proportional to 656.76, 984.35 and 309.81

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Solution

The fourth proportional to 656.76, 984.35 and 309.81 is: 464.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.76 : 984.35 = 309.81 : x
  2. Step 2: Convert to fraction form
    656.76/984.35 = 309.81/x
  3. Step 3: Cross multiply
    656.76x = 984.35 × 309.81
  4. Step 4: Simplify right side
    656.76x = 304,959.92
  5. Step 5: Solve for x
    x = 304,959.92/656.76
  6. Step 6: Final answer
    x = 464.34

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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.