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Finding the Fourth Proportional to 510.81, 703.89 and 363.30

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Solution

The fourth proportional to 510.81, 703.89 and 363.30 is: 500.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.81 : 703.89 = 363.30 : x
  2. Step 2: Convert to fraction form
    510.81/703.89 = 363.30/x
  3. Step 3: Cross multiply
    510.81x = 703.89 × 363.30
  4. Step 4: Simplify right side
    510.81x = 255,723.24
  5. Step 5: Solve for x
    x = 255,723.24/510.81
  6. Step 6: Final answer
    x = 500.62

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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.