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Finding the Fourth Proportional to 838.33, 1,156.85 and 465.29

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Solution

The fourth proportional to 838.33, 1,156.85 and 465.29 is: 642.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.33 : 1,156.85 = 465.29 : x
  2. Step 2: Convert to fraction form
    838.33/1,156.85 = 465.29/x
  3. Step 3: Cross multiply
    838.33x = 1,156.85 × 465.29
  4. Step 4: Simplify right side
    838.33x = 538,264.95
  5. Step 5: Solve for x
    x = 538,264.95/838.33
  6. Step 6: Final answer
    x = 642.07

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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.