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Finding the Fourth Proportional to 511.79, 706.37 and 428.76

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Solution

The fourth proportional to 511.79, 706.37 and 428.76 is: 591.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.79 : 706.37 = 428.76 : x
  2. Step 2: Convert to fraction form
    511.79/706.37 = 428.76/x
  3. Step 3: Cross multiply
    511.79x = 706.37 × 428.76
  4. Step 4: Simplify right side
    511.79x = 302,861.06
  5. Step 5: Solve for x
    x = 302,861.06/511.79
  6. Step 6: Final answer
    x = 591.77

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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.