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Finding the Fourth Proportional to 935.31, 1,402.98 and 442.02

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Solution

The fourth proportional to 935.31, 1,402.98 and 442.02 is: 663.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.31 : 1,402.98 = 442.02 : x
  2. Step 2: Convert to fraction form
    935.31/1,402.98 = 442.02/x
  3. Step 3: Cross multiply
    935.31x = 1,402.98 × 442.02
  4. Step 4: Simplify right side
    935.31x = 620,145.22
  5. Step 5: Solve for x
    x = 620,145.22/935.31
  6. Step 6: Final answer
    x = 663.04

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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.