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Finding the Fourth Proportional to 536.61, 805.60 and 362.56

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Solution

The fourth proportional to 536.61, 805.60 and 362.56 is: 544.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.61 : 805.60 = 362.56 : x
  2. Step 2: Convert to fraction form
    536.61/805.60 = 362.56/x
  3. Step 3: Cross multiply
    536.61x = 805.60 × 362.56
  4. Step 4: Simplify right side
    536.61x = 292,081.94
  5. Step 5: Solve for x
    x = 292,081.94/536.61
  6. Step 6: Final answer
    x = 544.31

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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.