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Finding the Fourth Proportional to 654.16, 981.24 and 346.24

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Solution

The fourth proportional to 654.16, 981.24 and 346.24 is: 519.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.16 : 981.24 = 346.24 : x
  2. Step 2: Convert to fraction form
    654.16/981.24 = 346.24/x
  3. Step 3: Cross multiply
    654.16x = 981.24 × 346.24
  4. Step 4: Simplify right side
    654.16x = 339,744.54
  5. Step 5: Solve for x
    x = 339,744.54/654.16
  6. Step 6: Final answer
    x = 519.36

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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.