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Finding the Fourth Proportional to 314.16, 470.28 and 228.72

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Solution

The fourth proportional to 314.16, 470.28 and 228.72 is: 342.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.16 : 470.28 = 228.72 : x
  2. Step 2: Convert to fraction form
    314.16/470.28 = 228.72/x
  3. Step 3: Cross multiply
    314.16x = 470.28 × 228.72
  4. Step 4: Simplify right side
    314.16x = 107,562.44
  5. Step 5: Solve for x
    x = 107,562.44/314.16
  6. Step 6: Final answer
    x = 342.38

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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.