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Finding the Fourth Proportional to 838.29, 1,156.86 and 465.30

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Solution

The fourth proportional to 838.29, 1,156.86 and 465.30 is: 642.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.29 : 1,156.86 = 465.30 : x
  2. Step 2: Convert to fraction form
    838.29/1,156.86 = 465.30/x
  3. Step 3: Cross multiply
    838.29x = 1,156.86 × 465.30
  4. Step 4: Simplify right side
    838.29x = 538,286.96
  5. Step 5: Solve for x
    x = 538,286.96/838.29
  6. Step 6: Final answer
    x = 642.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.