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Finding the Fourth Proportional to 510.52, 704.20 and 445.18

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Solution

The fourth proportional to 510.52, 704.20 and 445.18 is: 614.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.52 : 704.20 = 445.18 : x
  2. Step 2: Convert to fraction form
    510.52/704.20 = 445.18/x
  3. Step 3: Cross multiply
    510.52x = 704.20 × 445.18
  4. Step 4: Simplify right side
    510.52x = 313,495.76
  5. Step 5: Solve for x
    x = 313,495.76/510.52
  6. Step 6: Final answer
    x = 614.07

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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.