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Finding the Fourth Proportional to 654.49, 981.39 and 346.10

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Solution

The fourth proportional to 654.49, 981.39 and 346.10 is: 518.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.49 : 981.39 = 346.10 : x
  2. Step 2: Convert to fraction form
    654.49/981.39 = 346.10/x
  3. Step 3: Cross multiply
    654.49x = 981.39 × 346.10
  4. Step 4: Simplify right side
    654.49x = 339,655.47
  5. Step 5: Solve for x
    x = 339,655.47/654.49
  6. Step 6: Final answer
    x = 518.96

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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.