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Finding the Fourth Proportional to 434.08, 649.92 and 228.21

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Solution

The fourth proportional to 434.08, 649.92 and 228.21 is: 341.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.08 : 649.92 = 228.21 : x
  2. Step 2: Convert to fraction form
    434.08/649.92 = 228.21/x
  3. Step 3: Cross multiply
    434.08x = 649.92 × 228.21
  4. Step 4: Simplify right side
    434.08x = 148,316.66
  5. Step 5: Solve for x
    x = 148,316.66/434.08
  6. Step 6: Final answer
    x = 341.68

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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.