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Finding the Fourth Proportional to 510.84, 764.69 and 364.41

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Solution

The fourth proportional to 510.84, 764.69 and 364.41 is: 545.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.84 : 764.69 = 364.41 : x
  2. Step 2: Convert to fraction form
    510.84/764.69 = 364.41/x
  3. Step 3: Cross multiply
    510.84x = 764.69 × 364.41
  4. Step 4: Simplify right side
    510.84x = 278,658.86
  5. Step 5: Solve for x
    x = 278,658.86/510.84
  6. Step 6: Final answer
    x = 545.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.