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Finding the Fourth Proportional to 536.30, 804.55 and 228.14

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Solution

The fourth proportional to 536.30, 804.55 and 228.14 is: 342.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.30 : 804.55 = 228.14 : x
  2. Step 2: Convert to fraction form
    536.30/804.55 = 228.14/x
  3. Step 3: Cross multiply
    536.30x = 804.55 × 228.14
  4. Step 4: Simplify right side
    536.30x = 183,550.04
  5. Step 5: Solve for x
    x = 183,550.04/536.30
  6. Step 6: Final answer
    x = 342.25

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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.