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Finding the Fourth Proportional to 532.35, 734.58 and 311.27

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Solution

The fourth proportional to 532.35, 734.58 and 311.27 is: 429.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.35 : 734.58 = 311.27 : x
  2. Step 2: Convert to fraction form
    532.35/734.58 = 311.27/x
  3. Step 3: Cross multiply
    532.35x = 734.58 × 311.27
  4. Step 4: Simplify right side
    532.35x = 228,649.04
  5. Step 5: Solve for x
    x = 228,649.04/532.35
  6. Step 6: Final answer
    x = 429.51

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