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Finding the Fourth Proportional to 654.84, 980.24 and 410.22

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Solution

The fourth proportional to 654.84, 980.24 and 410.22 is: 614.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.84 : 980.24 = 410.22 : x
  2. Step 2: Convert to fraction form
    654.84/980.24 = 410.22/x
  3. Step 3: Cross multiply
    654.84x = 980.24 × 410.22
  4. Step 4: Simplify right side
    654.84x = 402,112.00
  5. Step 5: Solve for x
    x = 402,112.00/654.84
  6. Step 6: Final answer
    x = 614.06

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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.