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Finding the Fourth Proportional to 510.92, 704.25 and 345.08

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Solution

The fourth proportional to 510.92, 704.25 and 345.08 is: 475.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.92 : 704.25 = 345.08 : x
  2. Step 2: Convert to fraction form
    510.92/704.25 = 345.08/x
  3. Step 3: Cross multiply
    510.92x = 704.25 × 345.08
  4. Step 4: Simplify right side
    510.92x = 243,022.59
  5. Step 5: Solve for x
    x = 243,022.59/510.92
  6. Step 6: Final answer
    x = 475.66

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Double scale
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Similar ratio
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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.