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Finding the Fourth Proportional to 515.23, 711 and 282.35

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Solution

The fourth proportional to 515.23, 711 and 282.35 is: 389.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.23 : 711 = 282.35 : x
  2. Step 2: Convert to fraction form
    515.23/711 = 282.35/x
  3. Step 3: Cross multiply
    515.23x = 711 × 282.35
  4. Step 4: Simplify right side
    515.23x = 200,750.85
  5. Step 5: Solve for x
    x = 200,750.85/515.23
  6. Step 6: Final answer
    x = 389.63

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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.