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Finding the Fourth Proportional to 536.67, 739.76 and 403.70

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Solution

The fourth proportional to 536.67, 739.76 and 403.70 is: 556.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.67 : 739.76 = 403.70 : x
  2. Step 2: Convert to fraction form
    536.67/739.76 = 403.70/x
  3. Step 3: Cross multiply
    536.67x = 739.76 × 403.70
  4. Step 4: Simplify right side
    536.67x = 298,643.97
  5. Step 5: Solve for x
    x = 298,643.97/536.67
  6. Step 6: Final answer
    x = 556.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.