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Finding the Fourth Proportional to 510.98, 705.30 and 363.66

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Solution

The fourth proportional to 510.98, 705.30 and 363.66 is: 501.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.98 : 705.30 = 363.66 : x
  2. Step 2: Convert to fraction form
    510.98/705.30 = 363.66/x
  3. Step 3: Cross multiply
    510.98x = 705.30 × 363.66
  4. Step 4: Simplify right side
    510.98x = 256,489.40
  5. Step 5: Solve for x
    x = 256,489.40/510.98
  6. Step 6: Final answer
    x = 501.96

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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.