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Finding the Fourth Proportional to 434.16, 649.84 and 228.44

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Solution

The fourth proportional to 434.16, 649.84 and 228.44 is: 341.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.16 : 649.84 = 228.44 : x
  2. Step 2: Convert to fraction form
    434.16/649.84 = 228.44/x
  3. Step 3: Cross multiply
    434.16x = 649.84 × 228.44
  4. Step 4: Simplify right side
    434.16x = 148,449.45
  5. Step 5: Solve for x
    x = 148,449.45/434.16
  6. Step 6: Final answer
    x = 341.92

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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.