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Finding the Fourth Proportional to 536.61, 804.52 and 228.61

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Solution

The fourth proportional to 536.61, 804.52 and 228.61 is: 342.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.61 : 804.52 = 228.61 : x
  2. Step 2: Convert to fraction form
    536.61/804.52 = 228.61/x
  3. Step 3: Cross multiply
    536.61x = 804.52 × 228.61
  4. Step 4: Simplify right side
    536.61x = 183,921.16
  5. Step 5: Solve for x
    x = 183,921.16/536.61
  6. Step 6: Final answer
    x = 342.74

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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.