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Finding the Fourth Proportional to 676.32, 933.23 and 414.29

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Solution

The fourth proportional to 676.32, 933.23 and 414.29 is: 571.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.32 : 933.23 = 414.29 : x
  2. Step 2: Convert to fraction form
    676.32/933.23 = 414.29/x
  3. Step 3: Cross multiply
    676.32x = 933.23 × 414.29
  4. Step 4: Simplify right side
    676.32x = 386,621.12
  5. Step 5: Solve for x
    x = 386,621.12/676.32
  6. Step 6: Final answer
    x = 571.65

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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.