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Finding the Fourth Proportional to 536.56, 804.38 and 228.13

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Solution

The fourth proportional to 536.56, 804.38 and 228.13 is: 342.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.56 : 804.38 = 228.13 : x
  2. Step 2: Convert to fraction form
    536.56/804.38 = 228.13/x
  3. Step 3: Cross multiply
    536.56x = 804.38 × 228.13
  4. Step 4: Simplify right side
    536.56x = 183,500.06
  5. Step 5: Solve for x
    x = 183,500.06/536.56
  6. Step 6: Final answer
    x = 342.00

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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.