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Finding the Fourth Proportional to 532.36, 734.77 and 311.43

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Solution

The fourth proportional to 532.36, 734.77 and 311.43 is: 429.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.36 : 734.77 = 311.43 : x
  2. Step 2: Convert to fraction form
    532.36/734.77 = 311.43/x
  3. Step 3: Cross multiply
    532.36x = 734.77 × 311.43
  4. Step 4: Simplify right side
    532.36x = 228,829.42
  5. Step 5: Solve for x
    x = 228,829.42/532.36
  6. Step 6: Final answer
    x = 429.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.