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Finding the Fourth Proportional to 510.90, 705.21 and 363.96

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Solution

The fourth proportional to 510.90, 705.21 and 363.96 is: 502.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.90 : 705.21 = 363.96 : x
  2. Step 2: Convert to fraction form
    510.90/705.21 = 363.96/x
  3. Step 3: Cross multiply
    510.90x = 705.21 × 363.96
  4. Step 4: Simplify right side
    510.90x = 256,668.23
  5. Step 5: Solve for x
    x = 256,668.23/510.90
  6. Step 6: Final answer
    x = 502.38

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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.