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Finding the Fourth Proportional to 826.32, 1,239.16 and 278.35

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Solution

The fourth proportional to 826.32, 1,239.16 and 278.35 is: 417.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.32 : 1,239.16 = 278.35 : x
  2. Step 2: Convert to fraction form
    826.32/1,239.16 = 278.35/x
  3. Step 3: Cross multiply
    826.32x = 1,239.16 × 278.35
  4. Step 4: Simplify right side
    826.32x = 344,920.19
  5. Step 5: Solve for x
    x = 344,920.19/826.32
  6. Step 6: Final answer
    x = 417.42

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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.