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Finding the Fourth Proportional to 536.45, 804.07 and 228.11

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Solution

The fourth proportional to 536.45, 804.07 and 228.11 is: 341.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.45 : 804.07 = 228.11 : x
  2. Step 2: Convert to fraction form
    536.45/804.07 = 228.11/x
  3. Step 3: Cross multiply
    536.45x = 804.07 × 228.11
  4. Step 4: Simplify right side
    536.45x = 183,416.41
  5. Step 5: Solve for x
    x = 183,416.41/536.45
  6. Step 6: Final answer
    x = 341.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.