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Finding the Fourth Proportional to 656.20, 983.90 and 309.06

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Solution

The fourth proportional to 656.20, 983.90 and 309.06 is: 463.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.20 : 983.90 = 309.06 : x
  2. Step 2: Convert to fraction form
    656.20/983.90 = 309.06/x
  3. Step 3: Cross multiply
    656.20x = 983.90 × 309.06
  4. Step 4: Simplify right side
    656.20x = 304,084.13
  5. Step 5: Solve for x
    x = 304,084.13/656.20
  6. Step 6: Final answer
    x = 463.40

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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.