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Finding the Fourth Proportional to 510.48, 704.82 and 336.18

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Solution

The fourth proportional to 510.48, 704.82 and 336.18 is: 464.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.48 : 704.82 = 336.18 : x
  2. Step 2: Convert to fraction form
    510.48/704.82 = 336.18/x
  3. Step 3: Cross multiply
    510.48x = 704.82 × 336.18
  4. Step 4: Simplify right side
    510.48x = 236,946.39
  5. Step 5: Solve for x
    x = 236,946.39/510.48
  6. Step 6: Final answer
    x = 464.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.