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Finding the Fourth Proportional to 656.25, 984.36 and 309.35

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Solution

The fourth proportional to 656.25, 984.36 and 309.35 is: 464.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.25 : 984.36 = 309.35 : x
  2. Step 2: Convert to fraction form
    656.25/984.36 = 309.35/x
  3. Step 3: Cross multiply
    656.25x = 984.36 × 309.35
  4. Step 4: Simplify right side
    656.25x = 304,506.84
  5. Step 5: Solve for x
    x = 304,506.84/656.25
  6. Step 6: Final answer
    x = 464.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.