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Finding the Fourth Proportional to 472.36, 707.52 and 228.38

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Solution

The fourth proportional to 472.36, 707.52 and 228.38 is: 342.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.36 : 707.52 = 228.38 : x
  2. Step 2: Convert to fraction form
    472.36/707.52 = 228.38/x
  3. Step 3: Cross multiply
    472.36x = 707.52 × 228.38
  4. Step 4: Simplify right side
    472.36x = 161,579.45
  5. Step 5: Solve for x
    x = 161,579.45/472.36
  6. Step 6: Final answer
    x = 342.07

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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.