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Finding the Fourth Proportional to 936.46, 1,403.53 and 415.73

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Solution

The fourth proportional to 936.46, 1,403.53 and 415.73 is: 623.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.46 : 1,403.53 = 415.73 : x
  2. Step 2: Convert to fraction form
    936.46/1,403.53 = 415.73/x
  3. Step 3: Cross multiply
    936.46x = 1,403.53 × 415.73
  4. Step 4: Simplify right side
    936.46x = 583,492.00
  5. Step 5: Solve for x
    x = 583,492.00/936.46
  6. Step 6: Final answer
    x = 623.08

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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.