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Finding the Fourth Proportional to 656.01, 984.06 and 309.24

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Solution

The fourth proportional to 656.01, 984.06 and 309.24 is: 463.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.01 : 984.06 = 309.24 : x
  2. Step 2: Convert to fraction form
    656.01/984.06 = 309.24/x
  3. Step 3: Cross multiply
    656.01x = 984.06 × 309.24
  4. Step 4: Simplify right side
    656.01x = 304,310.71
  5. Step 5: Solve for x
    x = 304,310.71/656.01
  6. Step 6: Final answer
    x = 463.88

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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.