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Finding the Fourth Proportional to 536.92, 740.34 and 440.82

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Solution

The fourth proportional to 536.92, 740.34 and 440.82 is: 607.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.92 : 740.34 = 440.82 : x
  2. Step 2: Convert to fraction form
    536.92/740.34 = 440.82/x
  3. Step 3: Cross multiply
    536.92x = 740.34 × 440.82
  4. Step 4: Simplify right side
    536.92x = 326,356.68
  5. Step 5: Solve for x
    x = 326,356.68/536.92
  6. Step 6: Final answer
    x = 607.83

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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.