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Finding the Fourth Proportional to 510.23, 704.09 and 286.18

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Solution

The fourth proportional to 510.23, 704.09 and 286.18 is: 394.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.23 : 704.09 = 286.18 : x
  2. Step 2: Convert to fraction form
    510.23/704.09 = 286.18/x
  3. Step 3: Cross multiply
    510.23x = 704.09 × 286.18
  4. Step 4: Simplify right side
    510.23x = 201,495.43
  5. Step 5: Solve for x
    x = 201,495.43/510.23
  6. Step 6: Final answer
    x = 394.91

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Double scale
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1.5x scale

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.