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Finding the Fourth Proportional to 515.63, 772.33 and 342.38

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Solution

The fourth proportional to 515.63, 772.33 and 342.38 is: 512.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.63 : 772.33 = 342.38 : x
  2. Step 2: Convert to fraction form
    515.63/772.33 = 342.38/x
  3. Step 3: Cross multiply
    515.63x = 772.33 × 342.38
  4. Step 4: Simplify right side
    515.63x = 264,430.35
  5. Step 5: Solve for x
    x = 264,430.35/515.63
  6. Step 6: Final answer
    x = 512.83

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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.