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Finding the Fourth Proportional to 434.13, 651.31 and 228.64

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Solution

The fourth proportional to 434.13, 651.31 and 228.64 is: 343.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.13 : 651.31 = 228.64 : x
  2. Step 2: Convert to fraction form
    434.13/651.31 = 228.64/x
  3. Step 3: Cross multiply
    434.13x = 651.31 × 228.64
  4. Step 4: Simplify right side
    434.13x = 148,915.52
  5. Step 5: Solve for x
    x = 148,915.52/434.13
  6. Step 6: Final answer
    x = 343.02

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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.