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Finding the Fourth Proportional to 833.76, 1,250.46 and 256.50

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Solution

The fourth proportional to 833.76, 1,250.46 and 256.50 is: 384.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.76 : 1,250.46 = 256.50 : x
  2. Step 2: Convert to fraction form
    833.76/1,250.46 = 256.50/x
  3. Step 3: Cross multiply
    833.76x = 1,250.46 × 256.50
  4. Step 4: Simplify right side
    833.76x = 320,742.99
  5. Step 5: Solve for x
    x = 320,742.99/833.76
  6. Step 6: Final answer
    x = 384.69

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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.