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Finding the Fourth Proportional to 302.14, 417.32 and 228.43

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Solution

The fourth proportional to 302.14, 417.32 and 228.43 is: 315.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.14 : 417.32 = 228.43 : x
  2. Step 2: Convert to fraction form
    302.14/417.32 = 228.43/x
  3. Step 3: Cross multiply
    302.14x = 417.32 × 228.43
  4. Step 4: Simplify right side
    302.14x = 95,328.41
  5. Step 5: Solve for x
    x = 95,328.41/302.14
  6. Step 6: Final answer
    x = 315.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.