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Finding the Fourth Proportional to 833.34, 1,249.83 and 256.08

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Solution

The fourth proportional to 833.34, 1,249.83 and 256.08 is: 384.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.34 : 1,249.83 = 256.08 : x
  2. Step 2: Convert to fraction form
    833.34/1,249.83 = 256.08/x
  3. Step 3: Cross multiply
    833.34x = 1,249.83 × 256.08
  4. Step 4: Simplify right side
    833.34x = 320,056.47
  5. Step 5: Solve for x
    x = 320,056.47/833.34
  6. Step 6: Final answer
    x = 384.06

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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.