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Finding the Fourth Proportional to 532.42, 734.54 and 311.30

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Solution

The fourth proportional to 532.42, 734.54 and 311.30 is: 429.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.42 : 734.54 = 311.30 : x
  2. Step 2: Convert to fraction form
    532.42/734.54 = 311.30/x
  3. Step 3: Cross multiply
    532.42x = 734.54 × 311.30
  4. Step 4: Simplify right side
    532.42x = 228,662.30
  5. Step 5: Solve for x
    x = 228,662.30/532.42
  6. Step 6: Final answer
    x = 429.48

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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.