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Finding the Fourth Proportional to 935.07, 1,402.59 and 386.85

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Solution

The fourth proportional to 935.07, 1,402.59 and 386.85 is: 580.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.07 : 1,402.59 = 386.85 : x
  2. Step 2: Convert to fraction form
    935.07/1,402.59 = 386.85/x
  3. Step 3: Cross multiply
    935.07x = 1,402.59 × 386.85
  4. Step 4: Simplify right side
    935.07x = 542,591.94
  5. Step 5: Solve for x
    x = 542,591.94/935.07
  6. Step 6: Final answer
    x = 580.27

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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.