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Finding the Fourth Proportional to 662.32, 993.24 and 291.76

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Solution

The fourth proportional to 662.32, 993.24 and 291.76 is: 437.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.32 : 993.24 = 291.76 : x
  2. Step 2: Convert to fraction form
    662.32/993.24 = 291.76/x
  3. Step 3: Cross multiply
    662.32x = 993.24 × 291.76
  4. Step 4: Simplify right side
    662.32x = 289,787.70
  5. Step 5: Solve for x
    x = 289,787.70/662.32
  6. Step 6: Final answer
    x = 437.53

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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.