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Finding the Fourth Proportional to 935.44, 1,403.66 and 415.96

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Solution

The fourth proportional to 935.44, 1,403.66 and 415.96 is: 624.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.44 : 1,403.66 = 415.96 : x
  2. Step 2: Convert to fraction form
    935.44/1,403.66 = 415.96/x
  3. Step 3: Cross multiply
    935.44x = 1,403.66 × 415.96
  4. Step 4: Simplify right side
    935.44x = 583,860.82
  5. Step 5: Solve for x
    x = 583,860.82/935.44
  6. Step 6: Final answer
    x = 624.16

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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.