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Finding the Fourth Proportional to 510.52, 704.40 and 344.80

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Solution

The fourth proportional to 510.52, 704.40 and 344.80 is: 475.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.52 : 704.40 = 344.80 : x
  2. Step 2: Convert to fraction form
    510.52/704.40 = 344.80/x
  3. Step 3: Cross multiply
    510.52x = 704.40 × 344.80
  4. Step 4: Simplify right side
    510.52x = 242,877.12
  5. Step 5: Solve for x
    x = 242,877.12/510.52
  6. Step 6: Final answer
    x = 475.74

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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.