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Finding the Fourth Proportional to 532.05, 734.06 and 310.86

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Solution

The fourth proportional to 532.05, 734.06 and 310.86 is: 428.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.05 : 734.06 = 310.86 : x
  2. Step 2: Convert to fraction form
    532.05/734.06 = 310.86/x
  3. Step 3: Cross multiply
    532.05x = 734.06 × 310.86
  4. Step 4: Simplify right side
    532.05x = 228,188.34
  5. Step 5: Solve for x
    x = 228,188.34/532.05
  6. Step 6: Final answer
    x = 428.89

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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.