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Finding the Fourth Proportional to 518.41, 715.62 and 400.42

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Solution

The fourth proportional to 518.41, 715.62 and 400.42 is: 552.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.41 : 715.62 = 400.42 : x
  2. Step 2: Convert to fraction form
    518.41/715.62 = 400.42/x
  3. Step 3: Cross multiply
    518.41x = 715.62 × 400.42
  4. Step 4: Simplify right side
    518.41x = 286,548.56
  5. Step 5: Solve for x
    x = 286,548.56/518.41
  6. Step 6: Final answer
    x = 552.75

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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.