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Finding the Fourth Proportional to 518.53, 715.52 and 319.33

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Solution

The fourth proportional to 518.53, 715.52 and 319.33 is: 440.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.53 : 715.52 = 319.33 : x
  2. Step 2: Convert to fraction form
    518.53/715.52 = 319.33/x
  3. Step 3: Cross multiply
    518.53x = 715.52 × 319.33
  4. Step 4: Simplify right side
    518.53x = 228,487.00
  5. Step 5: Solve for x
    x = 228,487.00/518.53
  6. Step 6: Final answer
    x = 440.64

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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.