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Finding the Fourth Proportional to 532.09, 734.24 and 311.00

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Solution

The fourth proportional to 532.09, 734.24 and 311.00 is: 429.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.09 : 734.24 = 311.00 : x
  2. Step 2: Convert to fraction form
    532.09/734.24 = 311.00/x
  3. Step 3: Cross multiply
    532.09x = 734.24 × 311.00
  4. Step 4: Simplify right side
    532.09x = 228,350.03
  5. Step 5: Solve for x
    x = 228,350.03/532.09
  6. Step 6: Final answer
    x = 429.15

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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.