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Finding the Fourth Proportional to 656.06, 983.42 and 309.44

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Solution

The fourth proportional to 656.06, 983.42 and 309.44 is: 463.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.06 : 983.42 = 309.44 : x
  2. Step 2: Convert to fraction form
    656.06/983.42 = 309.44/x
  3. Step 3: Cross multiply
    656.06x = 983.42 × 309.44
  4. Step 4: Simplify right side
    656.06x = 304,307.94
  5. Step 5: Solve for x
    x = 304,307.94/656.06
  6. Step 6: Final answer
    x = 463.84

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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.