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Finding the Fourth Proportional to 833.49, 1,249.43 and 346.28

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Solution

The fourth proportional to 833.49, 1,249.43 and 346.28 is: 519.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.49 : 1,249.43 = 346.28 : x
  2. Step 2: Convert to fraction form
    833.49/1,249.43 = 346.28/x
  3. Step 3: Cross multiply
    833.49x = 1,249.43 × 346.28
  4. Step 4: Simplify right side
    833.49x = 432,644.64
  5. Step 5: Solve for x
    x = 432,644.64/833.49
  6. Step 6: Final answer
    x = 519.08

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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.