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Finding the Fourth Proportional to 510.86, 703.49 and 370.73

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Solution

The fourth proportional to 510.86, 703.49 and 370.73 is: 510.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.86 : 703.49 = 370.73 : x
  2. Step 2: Convert to fraction form
    510.86/703.49 = 370.73/x
  3. Step 3: Cross multiply
    510.86x = 703.49 × 370.73
  4. Step 4: Simplify right side
    510.86x = 260,799.48
  5. Step 5: Solve for x
    x = 260,799.48/510.86
  6. Step 6: Final answer
    x = 510.52

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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.