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Finding the Fourth Proportional to 935.09, 1,402.64 and 285.83

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Solution

The fourth proportional to 935.09, 1,402.64 and 285.83 is: 428.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.09 : 1,402.64 = 285.83 : x
  2. Step 2: Convert to fraction form
    935.09/1,402.64 = 285.83/x
  3. Step 3: Cross multiply
    935.09x = 1,402.64 × 285.83
  4. Step 4: Simplify right side
    935.09x = 400,916.59
  5. Step 5: Solve for x
    x = 400,916.59/935.09
  6. Step 6: Final answer
    x = 428.75

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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.