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Finding the Fourth Proportional to 518.01, 715.28 and 352.77

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Solution

The fourth proportional to 518.01, 715.28 and 352.77 is: 487.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.01 : 715.28 = 352.77 : x
  2. Step 2: Convert to fraction form
    518.01/715.28 = 352.77/x
  3. Step 3: Cross multiply
    518.01x = 715.28 × 352.77
  4. Step 4: Simplify right side
    518.01x = 252,327.56
  5. Step 5: Solve for x
    x = 252,327.56/518.01
  6. Step 6: Final answer
    x = 487.11

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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.