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Finding the Fourth Proportional to 423.64, 634.08 and 228.36

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Solution

The fourth proportional to 423.64, 634.08 and 228.36 is: 341.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.64 : 634.08 = 228.36 : x
  2. Step 2: Convert to fraction form
    423.64/634.08 = 228.36/x
  3. Step 3: Cross multiply
    423.64x = 634.08 × 228.36
  4. Step 4: Simplify right side
    423.64x = 144,798.51
  5. Step 5: Solve for x
    x = 144,798.51/423.64
  6. Step 6: Final answer
    x = 341.80

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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.