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Finding the Fourth Proportional to 655.63, 982.29 and 346.81

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Solution

The fourth proportional to 655.63, 982.29 and 346.81 is: 519.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.63 : 982.29 = 346.81 : x
  2. Step 2: Convert to fraction form
    655.63/982.29 = 346.81/x
  3. Step 3: Cross multiply
    655.63x = 982.29 × 346.81
  4. Step 4: Simplify right side
    655.63x = 340,663.08
  5. Step 5: Solve for x
    x = 340,663.08/655.63
  6. Step 6: Final answer
    x = 519.60

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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.