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Finding the Fourth Proportional to 518.85, 715.63 and 352.76

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Solution

The fourth proportional to 518.85, 715.63 and 352.76 is: 486.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.85 : 715.63 = 352.76 : x
  2. Step 2: Convert to fraction form
    518.85/715.63 = 352.76/x
  3. Step 3: Cross multiply
    518.85x = 715.63 × 352.76
  4. Step 4: Simplify right side
    518.85x = 252,447.43
  5. Step 5: Solve for x
    x = 252,447.43/518.85
  6. Step 6: Final answer
    x = 486.56

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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.