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Finding the Fourth Proportional to 935.68, 1,402.84 and 442.12

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Solution

The fourth proportional to 935.68, 1,402.84 and 442.12 is: 662.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.68 : 1,402.84 = 442.12 : x
  2. Step 2: Convert to fraction form
    935.68/1,402.84 = 442.12/x
  3. Step 3: Cross multiply
    935.68x = 1,402.84 × 442.12
  4. Step 4: Simplify right side
    935.68x = 620,223.62
  5. Step 5: Solve for x
    x = 620,223.62/935.68
  6. Step 6: Final answer
    x = 662.86

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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.