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Finding the Fourth Proportional to 510.96, 704.93 and 344.99

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Solution

The fourth proportional to 510.96, 704.93 and 344.99 is: 475.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.96 : 704.93 = 344.99 : x
  2. Step 2: Convert to fraction form
    510.96/704.93 = 344.99/x
  3. Step 3: Cross multiply
    510.96x = 704.93 × 344.99
  4. Step 4: Simplify right side
    510.96x = 243,188.55
  5. Step 5: Solve for x
    x = 243,188.55/510.96
  6. Step 6: Final answer
    x = 475.94

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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.