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Finding the Fourth Proportional to 423.08, 634.40 and 228.32

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Solution

The fourth proportional to 423.08, 634.40 and 228.32 is: 342.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.08 : 634.40 = 228.32 : x
  2. Step 2: Convert to fraction form
    423.08/634.40 = 228.32/x
  3. Step 3: Cross multiply
    423.08x = 634.40 × 228.32
  4. Step 4: Simplify right side
    423.08x = 144,841.89
  5. Step 5: Solve for x
    x = 144,841.89/423.08
  6. Step 6: Final answer
    x = 342.35

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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.