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Finding the Fourth Proportional to 315.24, 472.62 and 228.57

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Solution

The fourth proportional to 315.24, 472.62 and 228.57 is: 342.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.24 : 472.62 = 228.57 : x
  2. Step 2: Convert to fraction form
    315.24/472.62 = 228.57/x
  3. Step 3: Cross multiply
    315.24x = 472.62 × 228.57
  4. Step 4: Simplify right side
    315.24x = 108,026.75
  5. Step 5: Solve for x
    x = 108,026.75/315.24
  6. Step 6: Final answer
    x = 342.68

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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.