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Finding the Fourth Proportional to 935.10, 1,402.83 and 285.84

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Solution

The fourth proportional to 935.10, 1,402.83 and 285.84 is: 428.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.10 : 1,402.83 = 285.84 : x
  2. Step 2: Convert to fraction form
    935.10/1,402.83 = 285.84/x
  3. Step 3: Cross multiply
    935.10x = 1,402.83 × 285.84
  4. Step 4: Simplify right side
    935.10x = 400,984.93
  5. Step 5: Solve for x
    x = 400,984.93/935.10
  6. Step 6: Final answer
    x = 428.82

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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.