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Finding the Fourth Proportional to 656.01, 983.21 and 347.09

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Solution

The fourth proportional to 656.01, 983.21 and 347.09 is: 520.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.01 : 983.21 = 347.09 : x
  2. Step 2: Convert to fraction form
    656.01/983.21 = 347.09/x
  3. Step 3: Cross multiply
    656.01x = 983.21 × 347.09
  4. Step 4: Simplify right side
    656.01x = 341,255.71
  5. Step 5: Solve for x
    x = 341,255.71/656.01
  6. Step 6: Final answer
    x = 520.20

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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.