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Finding the Fourth Proportional to 935.35, 1,402.90 and 277.29

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Solution

The fourth proportional to 935.35, 1,402.90 and 277.29 is: 415.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.35 : 1,402.90 = 277.29 : x
  2. Step 2: Convert to fraction form
    935.35/1,402.90 = 277.29/x
  3. Step 3: Cross multiply
    935.35x = 1,402.90 × 277.29
  4. Step 4: Simplify right side
    935.35x = 389,010.29
  5. Step 5: Solve for x
    x = 389,010.29/935.35
  6. Step 6: Final answer
    x = 415.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.